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BEGIN:VEVENT
SUMMARY:Alexander Ivanov (Ruhr-Universität Bochum)
DTSTART;VALUE=DATE-TIME:20240923T200000Z
DTEND;VALUE=DATE-TIME:20240923T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/1
DESCRIPTION:Title: p-adic Deligne--Lusztig spaces\nby Alexander Ivanov (Ruhr-Universi
tät Bochum) as part of Boston University Number Theory Seminar\n\nLecture
held in CDS Room 365 in Boston University.\n\nAbstract\nI explain how to
carry over some definitions and results from classical Deligne--Luzstig th
eory (for reductive groups over finite fields) to a setup over p-adic fiel
ds. More precisely\, I discuss p-adic Deligne--Lusztig spaces\, defined as
certain arc-sheaves on perfect algebras over the residue field\, as well
as some of their geometric properties. In some cases\, one can determine t
he cohomology of these spaces\, and use it to construct smooth representat
ions of p-adic reductive groups geometrically.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jerson Caro (Boston University)
DTSTART;VALUE=DATE-TIME:20240909T200000Z
DTEND;VALUE=DATE-TIME:20240909T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/2
DESCRIPTION:Title: Diophantine properties for the special values of Dedekind zeta functio
ns\nby Jerson Caro (Boston University) as part of Boston University Nu
mber Theory Seminar\n\nLecture held in CDS Room 365 in Boston University.\
n\nAbstract\nAccording to Nothcott's theorem\, any set of algebraic number
s of bounded height and bounded degree is finite. Analogous finiteness pro
perties are also satisfied by many other heights\, such as the Faltings he
ight. Given the many conjectural links between heights and special values
of L-functions (with the BSD conjecture as the most remarkable example)\,
it is natural to ask whether special values of L-functions satisfy a simil
ar Northcott property. In this talk\, we will outline joint work in progre
ss with Fabien Pazuki and Riccardo Pengo that shows the Northcott property
does not hold for the Dedekind zeta function at 1/2.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Bertoloni-Meli (Boston University)
DTSTART;VALUE=DATE-TIME:20240916T200000Z
DTEND;VALUE=DATE-TIME:20240916T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/3
DESCRIPTION:Title: The categorical conjecture and cuspidal sheaves\nby Alexander Bert
oloni-Meli (Boston University) as part of Boston University Number Theory
Seminar\n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\
nI will discuss the categorical conjecture of Fargues and Scholze and desc
ribe work in progress with Teruhisa Koshikawa to explicate structures on t
he Galois side. In particular\, I will describe a category of cuspidal she
aves on the stack of L-parameters and show how it explicates some classica
l phenomena.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sameera Vemulapalli (Harvard University)
DTSTART;VALUE=DATE-TIME:20240930T200000Z
DTEND;VALUE=DATE-TIME:20240930T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/4
DESCRIPTION:Title: Steinitz classes of number fields and Tschirnhausen bundles of covers
of the projective line\nby Sameera Vemulapalli (Harvard University) as
part of Boston University Number Theory Seminar\n\nLecture held in CDS Ro
om 365 in Boston University.\n\nAbstract\nGiven a number field extension $
L/K$ of fixed degree\, one may consider $\\mathcal{O}_L$ as an $\\mathcal{
O}_K$-module. Which modules arise this way? Analogously\, in the geometric
setting\, a cover of the complex projective line by a smooth curve yields
a vector bundle on the projective line by pushforward of the structure sh
eaf\; which bundles arise this way? In this talk\, I'll describe recent wo
rk with Vakil in which we use tools in arithmetic statistics (in particula
r\, binary forms) to completely answer the first question and make progres
s towards the second.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Colby Brown (UC Davis)
DTSTART;VALUE=DATE-TIME:20241007T200000Z
DTEND;VALUE=DATE-TIME:20241007T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/5
DESCRIPTION:Title: An almost linear time algorithm testing whether the Markoff graph modu
lo $p$ is connected\nby Colby Brown (UC Davis) as part of Boston Unive
rsity Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston Univ
ersity.\n\nAbstract\nThe Markoff graph modulo p is known to be connected f
or all but finitely many primes p (see Eddy\, Fuchs\, Litman\, Martin\, Tr
ipeny\, and Vanyo [arXiv:2308.07579])\, and it is conjectured that these g
raphs are connected for all primes. In this talk\, we outline an algorithm
ic realization of the process introduced by Bourgain\, Gamburd\, and Sarna
k [arXiv:1607.01530] to test whether the Markoff graph modulo p is connect
ed for arbitrary primes. Our algorithm runs in o(p1+ϵ) time for every ϵ>
0. Our algorithm confirms that the Markoff graph modulo p is connected for
all primes less than one million.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Benedetto (Amherst College)
DTSTART;VALUE=DATE-TIME:20241021T200000Z
DTEND;VALUE=DATE-TIME:20241021T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/6
DESCRIPTION:Title: Arboreal Galois groups with colliding critical points\nby Rob Bene
detto (Amherst College) as part of Boston University Number Theory Seminar
\n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\nLet $f
\\in K(z)$ be a rational function of degree $d\\geq 2$ defined over a fiel
d $K$ (usually $\\mathbb{Q}$)\, and let $x_0\\in K$. The backward orbit of
$x_0$\, which is the union of the iterated preimages $f^{-n}(x_0)$\, has
the natural structure of a $d$-ary rooted tree. Thus\, the Galois groups o
f the fields generated by roots of the equations $f^n(z)=x_0$ are known as
arboreal Galois groups. In 2013\, Pink observed that when $d=2$ and the t
wo critical points $c_1\,c_2$ of $f$ collide\, meaning that $f^m(c_1)=f^m(
c_2)$ for some $m\\geq 1$\, then the arboreal Galois groups are strictly s
maller than the full automorphism group of the tree. We study these arbore
al Galois groups when $K$ is a number field and $f$ is either a quadratic
rational function (as in Pink's setting over function fields) or a cubic p
olynomial with colliding critical points. We describe the maximum possible
Galois groups in these cases\, and we present sufficient conditions for t
hese maximum groups to be attained.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matt Broe (Boston University)
DTSTART;VALUE=DATE-TIME:20241028T200000Z
DTEND;VALUE=DATE-TIME:20241028T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/7
DESCRIPTION:Title: The motive of a power of a CM elliptic curve\nby Matt Broe (Boston
University) as part of Boston University Number Theory Seminar\n\nLecture
held in CDS Room 365 in Boston University.\n\nAbstract\nThe endomorphisms
of an abelian variety $A$ over a field $k$ induce a natural decomposition
of the Chow motive of $A$. Characterizing the motives appearing in this d
ecomposition and their Chow groups is a generally subtle problem. When $E$
is an elliptic curve over $k$ with complex multiplication\, we explicitly
describe the decomposition of the motive of $E^g$\, and in the cases $g =
2\,\\ 3$ show that the Chow groups of the components are related to well-
studied invariants. When $k$ is a function field of positive characteristi
c\, we formulate a version of the Beilinson-Bloch conjecture for varieties
over $k$\, prove it in some special cases\, and show that it implies the
Chow groups of $E^g$ have a particularly simple structure.\n
LOCATION:https://master.researchseminars.org/talk/NTBU/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cecilia Salgado (University of Groningen and IAS)
DTSTART;VALUE=DATE-TIME:20241104T210000Z
DTEND;VALUE=DATE-TIME:20241104T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/8
DESCRIPTION:by Cecilia Salgado (University of Groningen and IAS) as part o
f Boston University Number Theory Seminar\n\nLecture held in CDS Room 365
in Boston University.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sheela Devadas
DTSTART;VALUE=DATE-TIME:20241111T210000Z
DTEND;VALUE=DATE-TIME:20241111T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/9
DESCRIPTION:by Sheela Devadas as part of Boston University Number Theory S
eminar\n\nLecture held in CDS Room 365 in Boston University.\nAbstract: TB
A\n
LOCATION:https://master.researchseminars.org/talk/NTBU/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linli Shi (University of Connecticut)
DTSTART;VALUE=DATE-TIME:20241118T210000Z
DTEND;VALUE=DATE-TIME:20241118T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/10
DESCRIPTION:by Linli Shi (University of Connecticut) as part of Boston Uni
versity Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston Un
iversity.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linus Hamann (Harvard University)
DTSTART;VALUE=DATE-TIME:20241125T210000Z
DTEND;VALUE=DATE-TIME:20241125T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/11
DESCRIPTION:by Linus Hamann (Harvard University) as part of Boston Univers
ity Number Theory Seminar\n\nLecture held in CDS Room 365 in Boston Univer
sity.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241202T210000Z
DTEND;VALUE=DATE-TIME:20241202T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/12
DESCRIPTION:by TBA as part of Boston University Number Theory Seminar\n\nL
ecture held in CDS Room 365 in Boston University.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART;VALUE=DATE-TIME:20241209T210000Z
DTEND;VALUE=DATE-TIME:20241209T220000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/13
DESCRIPTION:by TBA as part of Boston University Number Theory Seminar\n\nL
ecture held in CDS Room 365 in Boston University.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arnaud Eteve (MPIM)
DTSTART;VALUE=DATE-TIME:20250317T200000Z
DTEND;VALUE=DATE-TIME:20250317T210000Z
DTSTAMP;VALUE=DATE-TIME:20241013T141212Z
UID:NTBU/14
DESCRIPTION:by Arnaud Eteve (MPIM) as part of Boston University Number The
ory Seminar\n\nLecture held in CDS Room 365 in Boston University.\nAbstrac
t: TBA\n
LOCATION:https://master.researchseminars.org/talk/NTBU/14/
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