BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Juliette Bruce (Brown University)
DTSTART;VALUE=DATE-TIME:20221129T200000Z
DTEND;VALUE=DATE-TIME:20221129T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/1
DESCRIPTION:Title: Top weight cohomology of A_g\nby Juliette Bruce
(Brown University) as part of Harvard MIT Algebraic Geometry Seminar\n\nLe
cture held in Harvard Science Center 507.\n\nAbstract\nI will discuss rece
nt work calculating the top weight cohomology of the moduli space A_g of p
rincipally polarized abelian varieties of dimension g for small values of
g. The key idea is that this piece of cohomology is encoded combinatoriall
y via the relationship between the boundary complex of a compactification
of A_g and the moduli space of tropical abelian varieties. This is joint w
ork with Madeline Brandt\, Melody Chan\, Margarida Melo\, Gwyneth Moreland
\, and Corey Wolfe.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tasuki Kinjo (University of Tokyo)
DTSTART;VALUE=DATE-TIME:20221206T213000Z
DTEND;VALUE=DATE-TIME:20221206T223000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/2
DESCRIPTION:Title: Cohomological Donaldson-Thomas theory for 2-Calabi--
Yau categories\nby Tasuki Kinjo (University of Tokyo) as part of Harva
rd MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstrac
t\nCohomological Donaldson-Thomas (CoDT) invariants were introduced by Kon
tsevich-Soibelman and Brav-Bussi-Dupont-Joyce-Szendroi as categorification
s of the Donaldson-Thomas invariants counting objects in 3-Calabi-Yau cate
gories. In this talk\, I will explain applications of the CoDT theory to t
he cohomological study of the moduli of objects in 2-Calabi-Yau categories
. Among other things\, I will construct a coproduct on the Borel-Moore hom
ology of the moduli stack of objects in these categories and establish a P
BW-type statement for the Kapranov-Vasserot cohomological Hall algebras. T
his talk is based on a joint work in progress with Ben Davison.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Padmavathi Srinivasan (ICERM)
DTSTART;VALUE=DATE-TIME:20230418T190000Z
DTEND;VALUE=DATE-TIME:20230418T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/3
DESCRIPTION:Title: A canonical algebraic cycle associated to a curve in
its Jacobian\nby Padmavathi Srinivasan (ICERM) as part of Harvard MIT
Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507.
\n\nAbstract\nWe will talk about the Ceresa class\, which is the image und
er a cycle class map of a canonical homologically trivial algebraic cycle
associated to a curve in its Jacobian. In his 1983 thesis\, Ceresa showed
that the generic curve of genus at least 3 has nonvanishing Ceresa cycle m
odulo algebraic equivalence. Strategies for proving Fermat curves have inf
inite order Ceresa cycles due to B. Harris\, Bloch\, Bertolini-Darmon-Pras
anna\, Eskandari-Murty use a variety of ideas ranging from computation of
explicit iterated period integrals\, special values of p-adic L functions
and points of infinite order on the Jacobian of Fermat curves. In fact\, B
loch's results about the Ceresa cycle of Fermat quartics provided the firs
t concrete evidence for the generalization of the BSD conjecture to the Bl
och-Beilinson conjectures.\n\nWe will survey several recent results about
the Ceresa cycle and the Ceresa class. The Ceresa class vanishes for all h
yperelliptic curves and was expected to be nonvanishing for non-hyperellip
tic curves. We will present joint work with Dean Bisogno\, Wanlin Li and D
aniel Litt\, where we construct a non-hyperelliptic genus 3 quotient of th
e Fricke--Macbeath curve with torsion Ceresa class\, using the character t
heory of the automorphism group of the curve\, namely\, PSL2(F8).\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luigi Lombardi (University of Milan)
DTSTART;VALUE=DATE-TIME:20230131T200000Z
DTEND;VALUE=DATE-TIME:20230131T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/4
DESCRIPTION:Title: On the invariance of Hodge numbers under derived equ
ivalence\nby Luigi Lombardi (University of Milan) as part of Harvard M
IT Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 50
7.\n\nAbstract\nA conjecture of Orlov predicts the invariance of the Hodge
numbers of a smooth projective complex variety under derived equivalence.
For instance this has been verified in the case of varieties of general t
ype. In this talk\, I will examine the case of varieties that are fibered
by varieties of general type through the Albanese map. For this class of v
arieties I will prove the derived invariance of Hodge numbers of type $h^{
0\,p}$\, together with a few other invariants arising from the Albanese ma
p. This talk is based on a joint work with F. Caucci and G. Pareschi.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Küronya (Goethe-Universität Frankfurt)
DTSTART;VALUE=DATE-TIME:20230214T200000Z
DTEND;VALUE=DATE-TIME:20230214T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/5
DESCRIPTION:Title: Newton-Okounkov bodies and local positivity\nby
Alex Küronya (Goethe-Universität Frankfurt) as part of Harvard MIT Algeb
raic Geometry Seminar\n\nLecture held in Harvard Science Center 507.\n\nAb
stract\nThe purpose of this talk is to discuss Newton-Okounkov bodies\, \n
a convex geometric construction associated to divisors on projective \nvar
ieties. We will touch on their relationship with local positivity\, \nmult
iplicative filtrations on section rings\, and applications.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alina Marian (Northeastern University)
DTSTART;VALUE=DATE-TIME:20221206T200000Z
DTEND;VALUE=DATE-TIME:20221206T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/6
DESCRIPTION:Title: On quot schemes of rank zero quotients over a curve<
/a>\nby Alina Marian (Northeastern University) as part of Harvard MIT Alge
braic Geometry Seminar\n\nLecture held in MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samir Canning (ETH Zurich)
DTSTART;VALUE=DATE-TIME:20221212T200000Z
DTEND;VALUE=DATE-TIME:20221212T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/7
DESCRIPTION:Title: The Chow ring of the moduli space of degree 2 K3 sur
faces\nby Samir Canning (ETH Zurich) as part of Harvard MIT Algebraic
Geometry Seminar\n\nLecture held in Harvard Science Center 507.\n\nAbstrac
t\nThe intersection theory of the moduli space of K3 surfaces polarized by
a lattice is a subject of recent interest because of its deep connections
with a wide variety of mathematics\, including the intersection theory of
moduli spaces of curves and the study of modular forms. Oprea and Pandhar
ipande conjectured that the tautological rings of these moduli spaces of K
3 surfaces are highly structured in a way that mirrors the picture for the
moduli space of curves. I will discuss the proof of this conjecture in th
e case of K3 surfaces polarized by a degree 2 line bundle. This is joint w
ork with Dragos Oprea and Rahul Pandharipande.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/7
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sung Gi Park (Harvard University)
DTSTART;VALUE=DATE-TIME:20230207T200000Z
DTEND;VALUE=DATE-TIME:20230207T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/8
DESCRIPTION:Title: Kodaira dimension and hyperbolicity for smooth famil
ies of varieties\nby Sung Gi Park (Harvard University) as part of Harv
ard MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstra
ct\nIn this talk\, I will discuss the behavior of positivity\, hyperbolici
ty\, and Kodaira dimension under smooth morphisms of complex quasi-project
ive manifolds. This includes a vast generalization of a classical result:
a fibration from a projective surface of non-negative Kodaira dimension to
a projective line has at least three singular fibers. Furthermore\, I wil
l explain a proof of Popa's conjecture on the superadditivity of the log K
odaira dimension over bases of dimension at most three. These theorems are
applications of the main technical result\, namely the logarithmic base c
hange theorem.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/8
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Hotchkiss (University of Michigan)
DTSTART;VALUE=DATE-TIME:20230221T200000Z
DTEND;VALUE=DATE-TIME:20230221T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/9
DESCRIPTION:Title: The period-index problem over the complex numbers\nby James Hotchkiss (University of Michigan) as part of Harvard MIT Alge
braic Geometry Seminar\n\nLecture held in Harvard Science Center 507.\n\nA
bstract\nThe period-index problem is a longstanding question about the com
plexity of Brauer classes over a field. I will discuss some Hodge-theoreti
c aspects of the problem for complex function fields\, and give some appli
cations to Brauer groups and the integral Hodge conjecture.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/9
/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asher Auel (Dartmouth)
DTSTART;VALUE=DATE-TIME:20230228T200000Z
DTEND;VALUE=DATE-TIME:20230228T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/10
DESCRIPTION:Title: Maximal Brill-Noether loci\nby Asher Auel (Dart
mouth) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held i
n Harvard Science Center 507.\n\nAbstract\nBrill-Noether theory answers th
e question of whether a general curve of genus $g$ admits $g^r_d$\, a line
ar system of rank $r$ and degree $d$. A refined Brill-Noether theory hope
s to answer the question of whether a "general curve with a $g^r_d$" admit
s a $g^{r'}_{d'}$. In other words\, we want to know about the relative po
sition between Brill-Noether loci in the moduli space of curves of genus $
g$. I'll explain a strategy for distinguishing Brill-Noether loci by stud
ying the lifting of linear systems on curves in polarized K3 surfaces\, wh
ich motivates a conjecture identifying the maximal Brill-Noether loci with
respect to containment. Via an analysis of the stability of Lazarsfeld-Mu
kai bundles\, we obtain new lifting results for linear systems of rank 3 w
hich suffice to prove the maximal Brill-Noether loci conjecture in genus 9
-19\, 22\, and 23. This is joint work with Richard Haburcak.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Justin Lacini (University of Kansas)
DTSTART;VALUE=DATE-TIME:20230307T200000Z
DTEND;VALUE=DATE-TIME:20230307T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/11
DESCRIPTION:Title: Syzygies of adjoint linear series on projective var
ieties\nby Justin Lacini (University of Kansas) as part of Harvard MIT
Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507.
\n\nAbstract\nSyzygies of algebraic varieties have long been a topic of in
tense interest among algebraists and geometers alike. Starting with the pi
oneering work of Mark Green on curves\, numerous attempts have been made t
o extend these results to higher dimensions. Ein and Lazarsfeld proved tha
t if A is a very ample line bundle\, then K_X + mA satisfies property N_p
for any m>=n+1+p. It has ever since been an open question if the same hold
s true for A ample and basepoint free. In joint work with Purnaprajna Bang
ere we give a positive answer to this question.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomer Schlank (MIT)
DTSTART;VALUE=DATE-TIME:20230314T190000Z
DTEND;VALUE=DATE-TIME:20230314T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/12
DESCRIPTION:Title: Higher Tsen Theorem\nby Tomer Schlank (MIT) as
part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-13
2.\n\nAbstract\nTsen's Theorem gives a simple sufficient criterion for an
algebraic variety to have a point over a complex function field.\nIn the
talk we shall discuss a way to define on the collection of such points a s
tructure of a stack and show that this stack is homologically contractible
.\nWe shall explain a variant of this phenomenon that can be employed for
the study of Beilinson-Drinfeld Opers for reductive groups.\nThis is joint
work with D. Beraldo and D. Kazhdan.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junliang Shen (Yale University)
DTSTART;VALUE=DATE-TIME:20230321T190000Z
DTEND;VALUE=DATE-TIME:20230321T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/13
DESCRIPTION:Title: Non-abelian Hodge theory and the P=W conjecture
\nby Junliang Shen (Yale University) as part of Harvard MIT Algebraic Geom
etry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nIn the first part
of my talk\, I will introduce the P=W conjecture by de Cataldo\, Hausel\,
and Migliorini (2010)\, predicting that the perverse filtration associated
with the Hitchin system is identified with the weight filtration associat
ed with the corresponding character variety\, via non-abelian Hodge theory
. Then I will discuss a proof of the conjecture in joint work with Davesh
Maulik\, where we combine some ideas from enumerative geometry and represe
ntation theory.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melody Chan (Brown University)
DTSTART;VALUE=DATE-TIME:20230328T190000Z
DTEND;VALUE=DATE-TIME:20230328T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/14
DESCRIPTION:Title: The weight 0 compactly supported Euler characterist
ic of moduli spaces of marked hyperelliptic curves\nby Melody Chan (Br
own University) as part of Harvard MIT Algebraic Geometry Seminar\n\nLectu
re held in Harvard Science Center 507.\n\nAbstract\nJoint work with Madeli
ne Brandt and Siddarth Kannan. We use moduli\nspaces of G-admissible cove
rs and tropical geometry to give a\nsum-over-graphs formula for the weight
-0 compactly supported Euler\ncharacteristic of the moduli spaces H_{g\,n}
of n-marked hyperelliptic\ncurves of genus g\, as a virtual representatio
n of S_n. Computer\ncalculations then enable fully explicit formulas for
the above in\nsmall genus. My aim is to make this talk accessible to anyo
ne with\npassing familiarity with M_g and its Deligne-Mumford compactifica
tion.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gavril Farkas (Humboldt University Berlin)
DTSTART;VALUE=DATE-TIME:20230404T190000Z
DTEND;VALUE=DATE-TIME:20230404T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/15
DESCRIPTION:Title: Resonance and Koszul modules in algebraic geometry<
/a>\nby Gavril Farkas (Humboldt University Berlin) as part of Harvard MIT
Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507.\
n\nAbstract\nInspired from ideas in topology\, Koszul modules and the asso
ciated resonance varieties turned out to have important algebro-geometric
applications for instance to (i) Green's Conjecture on syzygies of canonic
al curves\, (ii) stabilization of cohomology of projective varieties in ar
bitrary characteristics and (iii) Chen invariants of hyperplane arrangemen
ts. I will discuss new developments related to this circle of ideas obtain
ed in joint work with Aprodu\, Raicu and Suciu.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tristan Collins (MIT)
DTSTART;VALUE=DATE-TIME:20230411T190000Z
DTEND;VALUE=DATE-TIME:20230411T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/16
DESCRIPTION:Title: Mirror symmetry\, stability conditions and geometri
c invariant theory\nby Tristan Collins (MIT) as part of Harvard MIT Al
gebraic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nBridge
land stability conditions were originally motivated by the concept of Pi s
tability in theoretical physics\, as introduced in work of M. Douglas. Pi
stability is an attempt to describe BPS states in string theory compactif
ications. Alternatively\, BPS states in string theory can often be descri
bed by solutions of certain nonlinear partial differential equations. In
this talk I will explain how\, starting from nonlinear PDEs\, ideas in GIT
lead to a version of algebraic stability which is similar to Bridgeland s
tability. In particular\, I will explain how in several examples in dimen
sion 2\, GIT stability for line bundles implies Bridgeland stability\, but
not conversely. In particular\, this yields effective tests for Bridgela
nd stability in many examples.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dawei Chen (Boston College)
DTSTART;VALUE=DATE-TIME:20230425T190000Z
DTEND;VALUE=DATE-TIME:20230425T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/17
DESCRIPTION:Title: Counting differentials with fixed residues\nby
Dawei Chen (Boston College) as part of Harvard MIT Algebraic Geometry Semi
nar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nIn this ta
lk\, we investigate meromorphic differentials on the Riemann sphere with a
single zero and several poles of predetermined orders. Our aim is to dete
rmine the number of such differentials that satisfy the condition where th
e residue at each pole is fixed. This question was previously explored by
Gendron and Tahar\, who employed graph counting techniques derived from th
e flat geometry of differentials. We introduce a new approach using inters
ection theory on moduli spaces of differentials. This is joint work with M
iguel Prado Godoy.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastian Casalaina-Martin (University of Colorado)
DTSTART;VALUE=DATE-TIME:20230502T190000Z
DTEND;VALUE=DATE-TIME:20230502T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/18
DESCRIPTION:Title: Moduli spaces of cubic hypersurfaces\nby Sebast
ian Casalaina-Martin (University of Colorado) as part of Harvard MIT Algeb
raic Geometry Seminar\n\nLecture held in Harvard Science Center 507.\n\nAb
stract\nIn this talk I will give an overview of some recent work\, joint w
ith Samuel Grushevsky\, Klaus Hulek\, and Radu Laza\, on the geometry and
topology of compactifications of the moduli spaces of cubic threefolds and
cubic surfaces. A focus of the talk will be on some results regarding non
-isomorphic smooth compactifications of the moduli space of cubic surfaces
\, showing that two natural desingularizations of the moduli space have th
e same cohomology\, and are both blow-ups of the moduli space at the same
point\, but are nevertheless\, not isomorphic\, and in fact\, not even K-e
quivalent.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Bitoun (University of Calgary)
DTSTART;VALUE=DATE-TIME:20230509T190000Z
DTEND;VALUE=DATE-TIME:20230509T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/19
DESCRIPTION:Title: On the D-module of an isolated singularity.\nby
Thomas Bitoun (University of Calgary) as part of Harvard MIT Algebraic Ge
ometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nLet Z be the ger
m of a complex hypersurface isolated singularity of equation f. We conside
r the family of analytic D-modules generated by the powers of 1/f and rela
te it to the pole order filtration on the de Rham cohomology of the comple
ment of \\{f=0\\}. This work builds on Vilonen’s characterization of the
intersection homology D-module.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/1
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar
DTSTART;VALUE=DATE-TIME:20230516T190000Z
DTEND;VALUE=DATE-TIME:20230516T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/20
DESCRIPTION:by No seminar as part of Harvard MIT Algebraic Geometry Semina
r\n\nLecture held in Harvard Science Center 507 or MIT 2-132.\nAbstract: T
BA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Schnell (SUNY Stony Brook)
DTSTART;VALUE=DATE-TIME:20230315T190000Z
DTEND;VALUE=DATE-TIME:20230315T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/21
DESCRIPTION:Title: Hodge theory and Lagrangian fibrations (special tim
e/location: 2-255)\nby Christian Schnell (SUNY Stony Brook) as part o
f Harvard MIT Algebraic Geometry Seminar\n\nLecture held in special locati
on: 2-255.\n\nAbstract\nThis is a talk about Lagrangian fibrations on hol
omorphic symplectic manifolds\, for example the Hitchin fibration (on the
moduli space of Higgs bundles over a curve). The general fiber of such a L
agrangian fibration is an abelian variety\, but the singular fibers are ra
ther mysterious. There were several beautiful conjectures about the Hodge
theory of Lagrangian fibrations\, proposed by Junliang Shen\, Qizheng Yin\
, and Davesh Maulik. I will try to introduce the conjectures and give an i
dea of the proof.\n\nThis talk will be in 2-255 at MIT.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolas Tholozan (École Normale Supérieure)
DTSTART;VALUE=DATE-TIME:20230523T190000Z
DTEND;VALUE=DATE-TIME:20230523T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/22
DESCRIPTION:Title: Complex variations of Hodge structures of rank 2 ov
er curves\nby Nicolas Tholozan (École Normale Supérieure) as part of
Harvard MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Science
Center 507.\n\nAbstract\nThrough the work of Simpson\, complex variations
of hodge structures (C-VHS) play a central role in the study of the modul
i space of local systems over a complex algebraic variety. In this talk I
will consider one of the simplest examples\, namely C-VHS of rank 2 over c
urves. These objects are known to hyperbolic geometers as « branched hype
rbolic surfaces ».\n\nI will review what is known about their monodromy\,
and discuss in particular a joint result with Bertrand Deroin: every PSL(
2\,R)-local system of Euler class 2g-3 over a curve of genus g admits an i
somonodromic deformation that supports a C-VHS.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun-Yong Park (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20230426T173000Z
DTEND;VALUE=DATE-TIME:20230426T183000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/23
DESCRIPTION:Title: Height moduli on algebraic stacks and counting fami
lies of varieties (special time and location SC 221)\nby Jun-Yong Park
(University of Melbourne) as part of Harvard MIT Algebraic Geometry Semin
ar\n\nLecture held in Harvard Science Center 221 (special location).\n\nAb
stract\nI will begin by reviewing the classical algorithm of Tate with som
e explicit polynomial calculations. Combining this with twisted stable map
s theory leads us to the height moduli of rational points of fixed stacky
height on the fine modular curve Mbar_{1\,1} over global function fields.
We will then compute arithmetic invariants of elliptic surfaces moduli via
topological methods and give applications to counting elliptic curves ove
r Fq(t).\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miguel Moreira (MIT)
DTSTART;VALUE=DATE-TIME:20230912T190000Z
DTEND;VALUE=DATE-TIME:20230912T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/25
DESCRIPTION:Title: Enumerative geometry\, wall-crossing and Virasoro c
onstraints\nby Miguel Moreira (MIT) as part of Harvard MIT Algebraic G
eometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nGiven a moduli
space of either sheaves on a smooth projective variety or a moduli space o
f representations of a quiver\, there are several invariants that we can e
xtract. One of the ways to get numbers out of a moduli space is to integra
te (possibly against a virtual fundamental class) certain tautological cla
sses. Such numbers often have interesting structures behind\, and I will t
alk about two: how they change when one changes a stability condition (wal
l-crossing formulas) and some universal and explicit linear relations that
those invariants always seem to satisfy (Virasoro constraints). Both of t
hese phenomena are related to a vertex algebra found by D. Joyce. For simp
licity I will mostly focus on the case of representations of a quiver. The
talk is based on joint work with A. Bojko and W. Lim.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elden Elmanto (University of Toronto)
DTSTART;VALUE=DATE-TIME:20230919T190000Z
DTEND;VALUE=DATE-TIME:20230919T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/26
DESCRIPTION:Title: Cycling in Cambridge\nby Elden Elmanto (Univers
ity of Toronto) as part of Harvard MIT Algebraic Geometry Seminar\n\nLectu
re held in MIT 2-132.\n\nAbstract\nI spent most of my time here cycling (o
r is it biking?) and thinking about algebraic cycles from a homotopical vi
ewpoint. I will speak about the latter. In joint work with Matthew Morrow\
, we developed a theory of motivic cohomology of schemes beyond the case o
f smooth schemes over a field. I will explain the cycle-theoretic aspects
of this construction\, focusing on the case of surfaces\, revisiting older
results of Krishna and Srinivas.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Satriano (University of Waterloo)
DTSTART;VALUE=DATE-TIME:20230926T190000Z
DTEND;VALUE=DATE-TIME:20230926T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/27
DESCRIPTION:Title: Beyond twisted maps: crepant resolutions of log ter
minal singularities and a motivic McKay correspondence\nby Matthew Sat
riano (University of Waterloo) as part of Harvard MIT Algebraic Geometry S
eminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nCrepant
resolutions have inspired connections between birational geometry\, deriv
ed categories\, representation theory\, and motivic integration. In this t
alk\, we prove that every variety with log-terminal singularities admits a
crepant resolution by a smooth stack. We additionally prove a motivic McK
ay correspondence for stack-theoretic resolutions. Finally\, we show how o
ur work naturally leads to a generalization of twisted mapping spaces. No
prior knowledge of stacks will be assumed. This is joint work with Jeremy
Usatine.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brad Dirks (Stony Brook)
DTSTART;VALUE=DATE-TIME:20231003T190000Z
DTEND;VALUE=DATE-TIME:20231003T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/28
DESCRIPTION:Title: The minimal exponent of LCI subvarieties\nby Br
ad Dirks (Stony Brook) as part of Harvard MIT Algebraic Geometry Seminar\n
\nLecture held in Harvard Science Center 507.\n\nAbstract\nClassification
of singularities is an interesting problem in many areas of algebraic geom
etry\, like the minimal model program. One classical approach is to assign
to a variety a rational number\, its log canonical threshold. For complex
hypersurface singularities\, this invariant has been refined by M. Saito
to the minimal exponent. This invariant is related to Bernstein-Sato polyn
omials\, Hodge ideals and higher du Bois and higher rational singularities
.\n\nIn joint work with Qianyu Chen\, Mircea Mustață and Sebastián Olan
o\, we defined the minimal exponent for LCI subvarieties of smooth complex
varieties. We relate it to local cohomology\, higher du Bois and higher r
ational singularities. I will describe what was done in the hypersurface c
ase\, give our definition in the LCI case and explain the relation to loca
l cohomology modules and the classification of singularities.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Pieloch (MIT)
DTSTART;VALUE=DATE-TIME:20231010T190000Z
DTEND;VALUE=DATE-TIME:20231010T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/29
DESCRIPTION:Title: Uniruling projective families over $\\mathbb{CP}^1$
with rational (multi)sections\nby Alex Pieloch (MIT) as part of Harva
rd MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-131.\n\nAbstrac
t\nWe will discuss a result which states that every projective family over
$\\mathbb{CP}^1$ with at most two singular fibres is uniruled by rational
(multi)sections. We obtain these rational curves by using techniques fro
m symplectic geometry. In this talk\, we will focus on (1) discussing the
motivation for this work from Hodge theory and (2) presenting the geometr
ic constructions and ideas involved in our proofs. No knowledge of symple
ctic geometry is required.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/2
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hunter Dinkins (MIT)
DTSTART;VALUE=DATE-TIME:20231017T190000Z
DTEND;VALUE=DATE-TIME:20231017T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/30
DESCRIPTION:Title: Generalized quantum difference equations for quiver
varieties\nby Hunter Dinkins (MIT) as part of Harvard MIT Algebraic G
eometry Seminar\n\nLecture held in MIT 2-143.\n\nAbstract\nCurve counts in
side certain varieties are constrained by an equation called the quantum d
ifference equation. Okounkov and Smirnov described the quantum difference
equation for Nakajima quiver varieties in terms of a quantum group. There
is a natural modification of their description\, which leads to a collecti
on of "exotic" quantum difference equations\, one for each alcove in a cer
tain hyperplane arrangement. Our main result is an enumerative-geometric d
escription of the fundamental solution of these exotic equations. I will g
ive an overview of these ideas\, illustrating the results for the example
of the Hilbert scheme of points in the complex plane.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Gross (Cambridge)
DTSTART;VALUE=DATE-TIME:20231024T190000Z
DTEND;VALUE=DATE-TIME:20231024T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/31
DESCRIPTION:Title: Mirror symmetry and partial compactifications of K3
moduli\nby Mark Gross (Cambridge) as part of Harvard MIT Algebraic Ge
ometry Seminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\
nI will talk about work with Hacking\, Keel and Siebert on using mirror co
nstructions to provide partial compactifications of the moduli of K3 surfa
ces. Starting with a one-parameter maximally\nunipotent degeneration of Pi
card rank 19 K3 surfaces\, we construct\, using methods of myself and Sieb
ert\, a mirror family which is defined in a formal neighbourhood of a unio
n of strata of a toric variety whose fan is defined\, to first approximati
on\, as the Mori fan of the original degeneration. This\nformal family may
then be glued in to the moduli space of polarized K3 surfaces to obtain a
partial compactification. Perhaps the most significant by-product of this
construction is the existence of theta functions in this formal neighbour
hood\, certain canonical bases for sections of powers of the\npolarizing l
ine bundle.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jakub Witaszek (Princeton)
DTSTART;VALUE=DATE-TIME:20231031T190000Z
DTEND;VALUE=DATE-TIME:20231031T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/32
DESCRIPTION:Title: Singularities in mixed characteristic via the Riema
nn-Hilbert correspondence\nby Jakub Witaszek (Princeton) as part of Ha
rvard MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Science Ce
nter 507.\n\nAbstract\nIn my talk\, I will start by reviewing how various
properties of characteristic zero singularities can be understood topologi
cally by ways of the Riemann-Hilbert correspondence. After that\, I will e
xplain how similar ideas can be applied in the study of mixed characterist
ic singularities. This is based on a joint work (in progress) with Bhargav
Bhatt\, Linquan Ma\, Zsolt Patakfalvi\, Karl Schwede\, Kevin Tucker\, and
Joe Waldron.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Talk Cancelled (Talk Cancelled)
DTSTART;VALUE=DATE-TIME:20231107T200000Z
DTEND;VALUE=DATE-TIME:20231107T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/33
DESCRIPTION:Title: Talk Cancelled\nby Talk Cancelled (Talk Cancell
ed) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held in H
arvard Science Center 507.\n\nAbstract\nI will discuss an elementary notio
n -- the angle rank of a polynomial -- and an application to the Tate conj
ecture for Abelian varieties over finite fields.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Iacopo Brivio (Harvard University (CMSA))
DTSTART;VALUE=DATE-TIME:20231114T200000Z
DTEND;VALUE=DATE-TIME:20231114T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/34
DESCRIPTION:Title: Superadditivity of anticanonical Iitaka dimension i
n positive characteristic\nby Iacopo Brivio (Harvard University (CMSA)
) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held in Har
vard Science Center 507.\n\nAbstract\nGiven a fibration $f\\colon X\\to Y$
of smooth complex projective with general fiber $F$\, the celebrated Iita
ka conjecture predicts the inequality $\\kappa(K_X)\\geq \\kappa(K_F)+\\ka
ppa(K_Y)$. Recently Chang showed that\, under some natural conditions\, th
e inequality $\\kappa(-K_X)\\leq \\kappa(-K_F)+\\kappa(-K_Y)$ holds.\n\nIn
this talk I will show that\, despite the failure in positive characterist
ic of both the Iitaka conjecture and Chang's theorem\, it is possible to r
ecover the latter for "tame" positive characteristic fibrations. This is b
ased on joint work with M. Benozzo and C.-K. Chang.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:César Lozano Huerta (Universidad Nacional Autónoma de México)
DTSTART;VALUE=DATE-TIME:20231121T200000Z
DTEND;VALUE=DATE-TIME:20231121T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/35
DESCRIPTION:Title: The Noether-Lefschetz loci formed by determinantal
surfaces in projective 3-space.\nby César Lozano Huerta (Universidad
Nacional Autónoma de México) as part of Harvard MIT Algebraic Geometry S
eminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nSolomon
Lefschetz showed that the Picard group of a general surface in P3 of degr
ee greater than three is ZZ. That is\, the vast majority of surfaces in P3
have the smallest possible Picard group. The set of surfaces of degree gr
eater than 3 on which this theorem fails is called the Noether-Lefschetz l
ocus. This locus has infinite components and their dimensions are somehow
mysterious.\n\nIn this talk\, I will calculate the dimension of infinite N
oether-Lefschetz components that are simple in a sense\, but still give us
an idea of the complexity of the entire Noether-Lefschetz locus. This is
joint work with Montserrat Vite and Manuel Leal.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emelie Arvidsson (University of Utah)
DTSTART;VALUE=DATE-TIME:20231128T200000Z
DTEND;VALUE=DATE-TIME:20231128T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/36
DESCRIPTION:Title: Properties of log canonical singularities in positi
ve characteristic\nby Emelie Arvidsson (University of Utah) as part of
Harvard MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Science
Center 507.\n\nAbstract\nWe will investigate if some well known propertie
s of log canonical singularities over the complex numbers still hold true
over perfect fields of positive characteristic and over excellent rings wi
th perfect residue fields. We will discuss both pathological behavior in c
haracteristic p as well as some positive results for threefolds. We will s
ee that the pathological behavior of these singularities in positive chara
cteristic is closely linked to the failure of certain vanishing theorems i
n positive characteristic. Additionally\, we will explore how these questi
ons are related to the moduli theory of varieties of general type.\n\nThis
is based on joint work with F. Bernasconi and Zs. Patakfalvi\, as well as
joint work with Q. Posva.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeff Baudin (EPFL Lausanne)
DTSTART;VALUE=DATE-TIME:20231205T200000Z
DTEND;VALUE=DATE-TIME:20231205T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/37
DESCRIPTION:Title: On Ueno's conjecture in positive characteristics\nby Jeff Baudin (EPFL Lausanne) as part of Harvard MIT Algebraic Geometr
y Seminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nIn c
haracteristic zero\, Ueno's conjecture states that if X is a smooth projec
tive variety with Kodaira dimension zero\, then its Albanese morphism in a
n algebraic fiber space and the Kodaira dimension of the general fiber is
again zero. This was proven by Cao and Păun in 2016. \n\nBuilding on the
generic vanishing techniques of Hacon and Patakfalvi\, we prove a positive
characteristic version of this result. We use it to deduce new cases of I
itaka's subadditivity conjecture in positive characteristics. The goal of
this talk is to explain how these techniques work\, and how we can use the
m to prove such results.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Perry (University of Michigan)
DTSTART;VALUE=DATE-TIME:20231212T200000Z
DTEND;VALUE=DATE-TIME:20231212T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/38
DESCRIPTION:Title: The period-index conjecture for abelian threefolds<
/a>\nby Alex Perry (University of Michigan) as part of Harvard MIT Algebra
ic Geometry Seminar\n\nLecture held in MIT 2-131.\n\nAbstract\nThe period-
index conjecture asks for a precise bound on one measure of complexity of
a Brauer class (its index) in terms of another (its period). I will discus
s joint work with James Hotchkiss which proves this conjecture for Brauer
classes on abelian threefolds.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carl Lian (Tufts University)
DTSTART;VALUE=DATE-TIME:20240206T200000Z
DTEND;VALUE=DATE-TIME:20240206T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/39
DESCRIPTION:Title: Enumerativity of fixed-domain Gromov-Witten invaria
nts\nby Carl Lian (Tufts University) as part of Harvard MIT Algebraic
Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nIt is well-und
erstood that Gromov-Witten (GW) invariants often fail to be enumerative. F
or example\, when r is at least 3\, the higher-genus GW invariants of P^r
fail to count smooth curves in projective space in any transparent sense.
The situation seems to be better when one fixes the complex structure of t
he domain curve. It was originally speculated that if X is a Fano variety\
, then the "fixed-domain" GW count of curves of sufficiently large degree
passing through the maximal number of general points is enumerative. I wil
l discuss some positive and negative results in this direction\, focusing
on the case of hypersurfaces. The most recent results are joint with Roya
Beheshti\, Brian Lehmann\, Eric Riedl\, Jason Starr\, and Sho Tanimoto\, a
nd build on earlier work with Rahul Pandharipande and Alessio Cela.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/3
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Canceled
DTSTART;VALUE=DATE-TIME:20240213T200000Z
DTEND;VALUE=DATE-TIME:20240213T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/40
DESCRIPTION:Title: Canceled\nby Canceled as part of Harvard MIT Al
gebraic Geometry Seminar\n\nLecture held in MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Montserrat Teixidor (Tufts University)
DTSTART;VALUE=DATE-TIME:20240220T200000Z
DTEND;VALUE=DATE-TIME:20240220T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/41
DESCRIPTION:Title: Brill-Noether loci\nby Montserrat Teixidor (Tuf
ts University) as part of Harvard MIT Algebraic Geometry Seminar\n\nLectur
e held in Harvard Science Center 507.\n\nAbstract\nBrill-Noether loci are
defined as the set of curves of genus g that have an unexpected linear ser
ies of degree d and dimension r.\n\nPflueger showed that these loci are no
n-empty when the expected codimension is at most g-3. By studying linear s
eries on chains of elliptic curves\, we give a new proof of a slightly ref
ined version of this result. We can also look at the behavior of the gener
ic curve in the locus.\n\nAn interesting conjecture of Auel and Haburcak
states that these loci are distinct and not contained in each other\, unle
ss they come from adding or removing fixed points. Their proof made use of
curves contained in K3 surfaces and was sufficient to prove the result in
small genus. Using chains of elliptic curves\, we can obtain additional i
nformation.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maksym Fedorchuk (Boston College)
DTSTART;VALUE=DATE-TIME:20240227T200000Z
DTEND;VALUE=DATE-TIME:20240227T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/42
DESCRIPTION:Title: CM-minimizers and standard models of Fano fibration
s over curves\nby Maksym Fedorchuk (Boston College) as part of Harvard
MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\
nA recent achievement in K-stability of Fano varieties is an\nalgebro-geom
etric construction of a projective moduli space of\nK-polystable Fanos. Th
e ample line bundle on this moduli space is the\nCM line bundle of Tian. O
ne of the consequences of the general theory\nis that given a family of K-
stable Fanos over a punctured curve\, the\npolystable filling is the one t
hat minimizes the degree of the CM line\nbundle after every *finite base
change*. A natural question is to\nask what are the CM-minimizers *w
ithout* base change. In\nanswering this question\, we arrive at a theor
y of Kollár stability\nfor fibrations over one-dimensional bases\, and st
andard models of Fano\nfibrations. After explaining the general theory\, I
will sketch work in\nprogress on standard models of quartic threefold hyp
ersurfaces. This\ntalk is based on joint work with Hamid Abban and Igor Kr
ylov.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Benozzo (Imperial College)
DTSTART;VALUE=DATE-TIME:20240305T200000Z
DTEND;VALUE=DATE-TIME:20240305T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/43
DESCRIPTION:Title: On the canonical bundle formula in positive charact
eristic\nby Marta Benozzo (Imperial College) as part of Harvard MIT Al
gebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507.\n\
nAbstract\nAn important problem in birational geometry is trying to relate
in a meaningful way the canonical bundles of the source and the base of a
fibration. The first instance of such a formula is Kodaira’s canonical
bundle formula for surfaces which admit a fibration with elliptic fibres.
It describes the relation between the canonical bundles in terms of the si
ngularities of the fibres and their j-invariants.\nIn higher dimension\, w
e do not have an equivalent of the j-invariant\, but we can still define a
moduli part. Over fields of characteristic 0\, positivity properties of t
he moduli part have been studied using variations of Hodge structures. Rec
ently\, the problem has been approached with techniques from the minimal m
odel program. These methods can be used to prove a canonical bundle formul
a result in positive characteristic.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Marquand (NYU)
DTSTART;VALUE=DATE-TIME:20240312T190000Z
DTEND;VALUE=DATE-TIME:20240312T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/44
DESCRIPTION:Title: The defect of a cubic threefold\nby Lisa Marqua
nd (NYU) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held
in Harvard Science Center 507.\n\nAbstract\nThe defect of a cubic threefo
ld with isolated singularities is a measure of the failure of Poincare dua
lity\, and also the failure to be Q-factorial. From the work of Cheltsov\,
a cubic threefold with only nodal singularities is Q factorial if and onl
y if there are at most 5 nodes. We investigate the defect of cubic threefo
lds with worse than nodal isolated singularities\, and provide a geometric
method to compute this global invariant. One can then compute the Mixed H
odge structure on the middle cohomology of the cubic threefold\, in terms
of the defect (a global invariant) and local invariants (Du Bois and Link
invariants) determined by the singularity types. We then relate the defect
to geometric properties of the cubic threefold\, showing it is positive i
f and only if the cubic contains a plane or a rational normal cubic scroll
. The focus of this work is to provide more insight into the existence of
reducible fibers for compactified intermediate jacobian fibrations associa
ted to a smooth (not necessarily general) cubic fourfold. This is joint wo
rk with Sasha Viktorova.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Changho Han (Waterloo)
DTSTART;VALUE=DATE-TIME:20240319T190000Z
DTEND;VALUE=DATE-TIME:20240319T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/45
DESCRIPTION:Title: Extending the torelli map to alternative compactifi
cations of the moduli space of curves\nby Changho Han (Waterloo) as pa
rt of Harvard MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Sc
ience Center 507.\n\nAbstract\nIt is well-known that the Torelli map\, tha
t turns a smooth curve of genus g into its Jacobian (a principally polariz
ed abelian variety of dimension g)\, extends to a map from the Deligne—M
umford moduli of stable curves to the moduli of semi-abelic varieties by A
lexeev. Moreover\, it is also known that the Torelli map does not extend o
ver the alternative compactifications of the moduli of curves as described
by the Hassett—Keel program\, including the moduli of pseudostable curv
es (can have nodes and cusps but not elliptic tails). But it is not yet kn
own whether the Torelli map extends over alternative compactifications of
the moduli of curves described by Smyth\; what about the moduli of curves
of genus g with rational m-fold singularities\, where m is a positive inte
ger bounded above? As a joint work in progress with Jesse Kass and Matthew
Satriano\, I will describe moduli spaces of curves with m-fold singularit
ies (with topological constraints) and describe how far the Torelli map ex
tends over such spaces into the Alexeev compactifications.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dhruv Ranganathan (Cambridge)
DTSTART;VALUE=DATE-TIME:20240326T190000Z
DTEND;VALUE=DATE-TIME:20240326T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/46
DESCRIPTION:Title: A degeneration of the Hilbert scheme\nby Dhruv
Ranganathan (Cambridge) as part of Harvard MIT Algebraic Geometry Seminar\
n\nLecture held in MIT 2-449 (note special room!).\n\nAbstract\nSpecial Ro
om: 2-449\n\nGrothendieck's Hilbert scheme is a compact parameter space f
or subschemes of a projective scheme X. It is one of the basic moduli spac
es in algebraic geometry\, in the sense that it is the starting point for
the construction of many others. One simple question about the Hilbert sch
eme is the following: as X undergoes a nice degeneration\, what is the rig
ht way to degenerate the Hilbert scheme of X along with it? One possible a
nswer\, proposed in the PhD thesis of Kennedy-Hunt\, comes from an object
called the logarithmic Hilbert scheme. I will give an introduction to this
circle of these ideas\, explain the basic geometric properties of the log
arithmic Hilbert scheme\, and sketch connections with certain moduli space
s of higher dimensional varieties. The talk reports on work of Kennedy-Hun
t\, joint work with Kennedy-Hunt\, and joint work with Maulik.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julianna Tymoczko (Smith College)
DTSTART;VALUE=DATE-TIME:20240402T190000Z
DTEND;VALUE=DATE-TIME:20240402T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/47
DESCRIPTION:Title: Webs and Schubert calculus for Springer fibers\
nby Julianna Tymoczko (Smith College) as part of Harvard MIT Algebraic Geo
metry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nClassical Schuber
t calculus analyzes the geometry of the flag variety\, namely the space of
nested subspaces $V_1 \\subseteq V_2 \\subseteq \\cdots \\subseteq \\math
bb{C}^n$\, asking enumerative questions about intersections of linear spac
es that turn out to be equivalent to deep problems in combinatorics and re
presentation theory. In this talk\, we'll describe some recent results in
the Schubert calculus of Springer fibers. Given a nilpotent linear opera
tor $X$\, the Springer fiber of $X$ is the subvariety of flags that are fi
xed by $X$ in the sense that $XV_i \\subseteq V_i$ for all $i$. The top-d
imensional cohomology of Springer fibers admits a representation of the sy
mmetric group first discovered by Tonny Springer as the seminal example of
a geometric representation. Where classical Schubert calculus describes
geometry governed by permutations\, that of Springer fibers incorporates t
he combinatorics both of permutations and of partitions. We'll describe n
ew results about this geometry in more detail\, including evidence that fr
om a geometric and topological perspective\, the best combinatorial model
for Springer fibers comes from representation-theoretic objects called web
s.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Esser (Princeton)
DTSTART;VALUE=DATE-TIME:20240409T190000Z
DTEND;VALUE=DATE-TIME:20240409T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/48
DESCRIPTION:Title: The Dual Complex of a G-variety\nby Louis Esser
(Princeton) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture
held in Harvard Science Center 507.\n\nAbstract\nWe introduce a new invari
ant of G-varieties\, the dual complex\, which roughly measures how divisor
s in the complement of the free locus intersect. We show that the top homo
logy group of this complex is an equivariant birational invariant of G-var
ieties. As an application\, we demonstrate the non-linearizability of cert
ain large abelian group actions on smooth hypersurfaces in projective spac
e of any dimension and degree at least 3.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Han-Bom Moon (Fordham University)
DTSTART;VALUE=DATE-TIME:20240416T190000Z
DTEND;VALUE=DATE-TIME:20240416T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/49
DESCRIPTION:Title: Derived category of moduli space of vector bundles
on a curve\nby Han-Bom Moon (Fordham University) as part of Harvard MI
T Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nTh
e derived category of moduli spaces of vector bundles on a curve is expect
ed to be decomposed into the derived categories of symmetric products of t
he base curve. I will briefly explain the expectation and known results\,
and some consequences. This is joint work in progress with Kyoung-Seog Lee
.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/4
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Larson (UC Berkeley)
DTSTART;VALUE=DATE-TIME:20240423T190000Z
DTEND;VALUE=DATE-TIME:20240423T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/50
DESCRIPTION:Title: The Chow ring of the universal Picard stack over th
e hyperelliptic locus\nby Hannah Larson (UC Berkeley) as part of Harva
rd MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Science Cente
r 507.\n\nAbstract\nUnderstanding the line bundles on curves are essential
to understanding the curves themselves. As such\, the universal Picard st
ack J^d_g --> M_g parametrizing degree d line bundles on genus g curves is
an important object of study. Recently\, progress has been made on the in
tersection theory of M_g in low genus by stratifying the moduli space by g
onality. The smallest piece in this stratification is the hyperelliptic lo
cus. Motivated by this\, I'll present several results about the restrictio
n of J^d_g to the hyperelliptic locus\, denoted J^d_{2\,g}. These include
a presentation of the rational Chow ring of J^d_{2\,g}. I also determine t
he integral Picard group of J^d_{2\,g}\, completing (and extending to the
PGL_2-equivariant case) prior work of Erman and Wood.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qile Chen (Boston College)
DTSTART;VALUE=DATE-TIME:20240430T190000Z
DTEND;VALUE=DATE-TIME:20240430T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/51
DESCRIPTION:Title: Campana rational connectedness\nby Qile Chen (B
oston College) as part of Harvard MIT Algebraic Geometry Seminar\n\nLectur
e held in MIT 2-132.\n\nAbstract\nThe notion of Campana points were introd
uced by Campana and Abramovich\, which interpolate between rational points
and integral points. In this talk\, we will focus on the geometric side a
nd introduce Campana rational connectedness --- a version of rational conn
ectedness for varieties with simple normal crossings boundaries. We furthe
r prove that over function fields\, weak approximations by Campana points
at good places hold assuming Campana rational connectedness of fibers\, ge
neralizing a theorem of Hassett and Tschinkel. We further verify Campana r
ational connectedness for many basic examples. Our approach relies on the
theory of stable log maps and their moduli. This is a joint work in progre
ss with Brian Lehmann and Sho Tanimoto.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joe Harris (Harvard University)
DTSTART;VALUE=DATE-TIME:20240507T190000Z
DTEND;VALUE=DATE-TIME:20240507T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/52
DESCRIPTION:Title: The Enriques Conjectures\nby Joe Harris (Harvar
d University) as part of Harvard MIT Algebraic Geometry Seminar\n\nLecture
held in Harvard Science Center 507.\n\nAbstract\nTwo fundamental facts ab
out the moduli space M_g of smooth curves of genus g are what are called H
arer's theorems: that the Picard group of M_g is of rank one\, generated (
over the rational numbers) by the Hodge class\; and that the relative Pica
rd group of the universal curve over M_g is also of rank one\, generated b
y the relative dualizing sheaf. We can make analogous statements about the
Severi variety of plane curves and the Hurwitz space parametrizing branch
ed covers\, which are still open\; in fact\, the former was conjectured by
Enriques more than a century ago and remains open.\n\nIn this talk I'd li
ke to describe all of these theorems/conjectures\, and the implications am
ong them\, including Isabel Vogt's recent work on Severi varieties. I'll b
e working entirely with rational coefficients\, so torsion classes\, which
are far more mysterious\, will not enter into it.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Borys Kadets (Hebrew University of Jerusalem)
DTSTART;VALUE=DATE-TIME:20240402T203000Z
DTEND;VALUE=DATE-TIME:20240402T213000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/56
DESCRIPTION:Title: Curves with many degree $d$ points (Joint with the
MIT number theory seminar\, note the special time and location)\nby Bo
rys Kadets (Hebrew University of Jerusalem) as part of Harvard MIT Algebra
ic Geometry Seminar\n\nLecture held in MIT 2-449.\n\nAbstract\nWhen does a
nice curve $X$ over a number field $k$ have infinitely many closed points
of degree $d$?\nFaltings' theorem allows us to rephrase this problem in p
urely algebro-geometric terms\, though the resulting geometric question is
far from being fully solved. Previous work gave easy to state answers to
the problem for degrees $2$ (Harris-Silverman) and $3$ (Abramovich-Harris)
\, but also uncovered exotic constructions of such curves in all degrees $
d \\geqslant 4$ (Debarre-Fahlaoui). I will describe recent progress on the
problem\, which answers the question in the large genus case. Along the w
ay we uncover systematic explanations for the Debarre-Fahlaoui counstructi
ons and provide a complete geometric answer for $d \\leqslant 5$. The talk
is based on joint work with Isabel Vogt.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Hase-Liu (Columbia University)
DTSTART;VALUE=DATE-TIME:20241001T190000Z
DTEND;VALUE=DATE-TIME:20241001T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/57
DESCRIPTION:Title: A circle method for algebraic geometers\nby Mat
thew Hase-Liu (Columbia University) as part of Harvard MIT Algebraic Geome
try Seminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nBr
owning and Vishe studied the moduli space of smooth genus zero curves of f
ixed degree on a smooth low-degree hypersurface using the circle method\,
a technique from analytic number theory. I'll explain how their strategy c
an be interpreted completely algebro-geometrically\, and then use this per
spective to generalize their results to the higher genus setting. Time per
mitting\, I'll also discuss some applications to Geometric Manin's conject
ure and terminal singularities of these moduli spaces\, the latter of whic
h is joint work with Jakob Glas.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:César Lozano Huerta (Universidad Nacional Autónoma de México)
DTSTART;VALUE=DATE-TIME:20240625T190000Z
DTEND;VALUE=DATE-TIME:20240625T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/58
DESCRIPTION:Title: Geometry of syzygies of sheaves on P2 via interpola
tion and Bridgeland stability.\nby César Lozano Huerta (Universidad N
acional Autónoma de México) as part of Harvard MIT Algebraic Geometry Se
minar\n\nLecture held in Harvard Science Center 232.\n\nAbstract\nThe mini
mal free resolution of a sheaf on P2\, such as a vector bundle or the idea
l sheaf of points\, carries important information about its moduli space.
However\, how it may do so has remained unclear.\n\nThis talk aims to clar
ify the previous situation and\, I will compute the cone of effective divi
sors of moduli spaces of sheaves using syzygies.\n\nNote the special room
on the second floor\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yajnaseni Dutta (Leiden University)
DTSTART;VALUE=DATE-TIME:20240924T190000Z
DTEND;VALUE=DATE-TIME:20240924T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/59
DESCRIPTION:Title: Twisted Intermediate Jacobian Fibrations\nby Ya
jnaseni Dutta (Leiden University) as part of Harvard MIT Algebraic Geometr
y Seminar\n\nLecture held in Harvard Science Center 507.\n\nAbstract\nIn t
his talk\, I will report on a joint work in progress with D. Mattei and E.
Shinder\, where we construct\, using Hodge modules\, a group scheme that
can be thought of as the intermediate Jacobian of a certain complete famil
y of cubic threefolds. We show that the group scheme acts on a well-known
abelian fibration. The action gives rise to twisted versions of the abelia
n fibration. This is similar to twisting genus 1 fibrations with irreducib
le fibres via its Tate-Shafarevich group.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/5
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andres Fernandez Herrero (University of Pennsylvania)
DTSTART;VALUE=DATE-TIME:20240910T190000Z
DTEND;VALUE=DATE-TIME:20240910T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/60
DESCRIPTION:Title: Decomposition theorem for the logarithmic Hitchin f
ibration\nby Andres Fernandez Herrero (University of Pennsylvania) as
part of Harvard MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-13
2.\n\nAbstract\nThe focus of this talk will be the moduli space of logarit
hmic G-Higgs bundles on a smooth projective curve\, where G is a reductive
group. I will explain some recent progress towards understanding the int
ersection cohomology of this moduli space: a description of the decomposit
ion theorem for the corresponding Hitchin fibration. This is based on wor
k in progress joint with Mark de Cataldo\, Roberto Fringuelli and Mirko Ma
uri.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Mustopa (University of Massachusetts)
DTSTART;VALUE=DATE-TIME:20241008T190000Z
DTEND;VALUE=DATE-TIME:20241008T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/61
DESCRIPTION:Title: Convex Fujita Numbers and Projective Bundles\nb
y Yusuf Mustopa (University of Massachusetts) as part of Harvard MIT Algeb
raic Geometry Seminar\n\nLecture held in MIT 2-132.\n\nAbstract\nThe Fujit
a Freeness Conjecture predicts that for an ample line bundle $L$ on a smoo
th projective variety $X$ of dimension $n\,$ the adjoint bundle $K \\otime
s L^{\\otimes m}$ is basepoint free for $m \\geq n+1\,$ and is currently o
pen for all $n \\geq 6.$ A numerical\n(and a priori stronger) form of thi
s conjecture\, whose hypothesis replaces the condition on $m$ with conditi
ons on intersection numbers involving $L\,$ was proposed by Helmke in 1997
. As an interpolation between these two forms\, one can ask whether $K \\
otimes L_{1} \\otimes \\cdots \\otimes L_{m}$ is globally generated if $m
\\geq n+1$ and $L_{1}\, \\cdots \,L_{m}$ are arbitrary ample line bundles
on $X.$ This leads naturally to the notion of the convex\nFujita number $
{\\rm Fu}(X)$ of $X\,$ which measures "how soon" the global generation tak
es effect. In this talk\, I will discuss ongoing joint work with Jiaming
Chen\, Alex Kuronya\, and Jakob Stix on the possible values of ${\\rm Fu}(
X)\,$ with emphasis on the case where $X$ is a projectivized vector bundle
.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Paul Brasselet (CNRS)
DTSTART;VALUE=DATE-TIME:20241112T190000Z
DTEND;VALUE=DATE-TIME:20241112T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/62
DESCRIPTION:by Jean-Paul Brasselet (CNRS) as part of Harvard MIT Algebraic
Geometry Seminar\n\nLecture held in Harvard Science Center 507 or MIT 2-1
32.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kendric Schefers (UC Berkeley)
DTSTART;VALUE=DATE-TIME:20241210T200000Z
DTEND;VALUE=DATE-TIME:20241210T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/63
DESCRIPTION:by Kendric Schefers (UC Berkeley) as part of Harvard MIT Algeb
raic Geometry Seminar\n\nLecture held in Harvard Science Center 507 or MIT
2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Church (Stanford University)
DTSTART;VALUE=DATE-TIME:20240917T190000Z
DTEND;VALUE=DATE-TIME:20240917T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/64
DESCRIPTION:Title: Curves on complete intersections and measures of ir
rationality\nby Benjamin Church (Stanford University) as part of Harva
rd MIT Algebraic Geometry Seminar\n\nLecture held in Harvard Science Cente
r 507.\n\nAbstract\nGiven a projective variety $X$\, it is always covered
by curves obtained by taking the intersection with a linear subspace. We s
tudy whether there exist curves on $X$ that have smaller numerical invaria
nts than those of the linear slices. If $X$ is a general complete intersec
tion of large degrees\, we show that there are no curves on $X$ of smaller
degree\, nor are there curves of asymptotically smaller gonality. This ve
rifies a folklore conjecture on the degrees of subvarieties of complete in
tersections as well as a conjecture of Bastianelli--De Poi--Ein--Lazarsfel
d--Ullery on measures of irrationality for complete intersections. This is
joint work with Nathan Chen and Junyan Zhao.\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Brazelton (Harvard University)
DTSTART;VALUE=DATE-TIME:20241015T190000Z
DTEND;VALUE=DATE-TIME:20241015T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/65
DESCRIPTION:by Thomas Brazelton (Harvard University) as part of Harvard MI
T Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507
or MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anh Đức Võ (Harvard University)
DTSTART;VALUE=DATE-TIME:20241022T190000Z
DTEND;VALUE=DATE-TIME:20241022T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/66
DESCRIPTION:by Anh Đức Võ (Harvard University) as part of Harvard MIT
Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507 o
r MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tommaso Botta (Columbia University)
DTSTART;VALUE=DATE-TIME:20241029T190000Z
DTEND;VALUE=DATE-TIME:20241029T200000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/67
DESCRIPTION:by Tommaso Botta (Columbia University) as part of Harvard MIT
Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Younghan Bae (University of Michigan)
DTSTART;VALUE=DATE-TIME:20241105T200000Z
DTEND;VALUE=DATE-TIME:20241105T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/68
DESCRIPTION:by Younghan Bae (University of Michigan) as part of Harvard MI
T Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507
or MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hélène Esnault (Harvard University)
DTSTART;VALUE=DATE-TIME:20241119T200000Z
DTEND;VALUE=DATE-TIME:20241119T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/69
DESCRIPTION:by Hélène Esnault (Harvard University) as part of Harvard MI
T Algebraic Geometry Seminar\n\nLecture held in Harvard Science Center 507
.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/6
9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sasha Petrov (MIT)
DTSTART;VALUE=DATE-TIME:20241126T200000Z
DTEND;VALUE=DATE-TIME:20241126T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/70
DESCRIPTION:by Sasha Petrov (MIT) as part of Harvard MIT Algebraic Geometr
y Seminar\n\nLecture held in Harvard Science Center 507 or MIT 2-132.\nAbs
tract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/7
0/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Halpern-Leistner (Cornell University)
DTSTART;VALUE=DATE-TIME:20241203T200000Z
DTEND;VALUE=DATE-TIME:20241203T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/71
DESCRIPTION:by Daniel Halpern-Leistner (Cornell University) as part of Har
vard MIT Algebraic Geometry Seminar\n\nLecture held in MIT 2-132.\nAbstrac
t: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/7
1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241217T200000Z
DTEND;VALUE=DATE-TIME:20241217T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T132441Z
UID:harvard-mit-ag-seminar/72
DESCRIPTION:by TBA as part of Harvard MIT Algebraic Geometry Seminar\n\nLe
cture held in Harvard Science Center 507 or MIT 2-132.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/harvard-mit-ag-seminar/7
2/
END:VEVENT
END:VCALENDAR