STAGE

algebraic geometry number theory

Audience:	Advanced learners
Seminar series time:	Monday 14:30-16:00 in your time zone, UTC
Organizers:	Bjorn Poonen, Kenta Suzuki, Xinyu Zhou*
	*contact for this listing

STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Fall 2024 topic: Algebraic differential equations

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

Upcoming talks

Past talks

Your time			Speaker	Title
Mon	Sep 16	14:30	Xinyu Fang	Local systems, fundamental groupoid, definition of connection
Mon	Sep 23	14:30	Atticus Wang	Integrable connections
Mon	Sep 30	14:30	TBA	Relationship to PDEs and $n$th order differential equations
Mon	Oct 07	14:30	TBA	Second order differential equations and projective connections
Mon	Oct 21	14:30	TBA	TBA
Mon	Oct 28	14:30	TBA	TBA
Mon	Nov 04	15:30	TBA	TBA
Mon	Nov 18	15:30	TBA	TBA
Mon	Nov 25	15:30	TBA	TBA
Mon	Dec 02	15:30	TBA	TBA
Mon	Dec 09	15:30	TBA	TBA

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Your time			Speaker	Title
Mon	Sep 09	14:30	Elia Gorokhovsky	Complex analytic spaces, vector bundles, and GAGA
Thu	May 09	20:00	Hao Peng	Applications of the large sieve to thin sets
Thu	May 02	20:00	Jane Shi	Construction of elliptic curves of large rank
Thu	Apr 25	20:00	Daniel Larsen	The large sieve
Thu	Apr 18	20:00	Vijay Srinivasan	Construction of Galois extensions
Thu	Apr 11	20:00	Daniel Hu	The Hilbert irreducibility theorem
Thu	Apr 04	20:00	Shiva Chidambaram	Baker's method
Thu	Mar 21	20:00	Bjorn Poonen	Siegel's method
Thu	Mar 07	21:00	Frank Lu	The Demyanenko-Manin method and Mumford's inequality
Thu	Feb 29	21:00	Niven T. Achenjang	The Mordell-Weil theorem and Chabauty's theorem
Thu	Feb 22	21:00	Xinyu Zhou	Normalized heights
Thu	Feb 08	21:00	Raymond van Bommel	Height functions
Thu	Dec 07	21:00	Barinder Banwait	Points of order 13
Thu	Nov 30	21:00	Daishi Kiyohara	The Eisenstein quotient
Thu	Nov 16	21:00	Kenta Suzuki	Criterion for the nonexistence of rational $p$-torsion
Thu	Nov 09	21:00	Hari Iyer	Galois representations and modular forms
Thu	Nov 02	20:00	Niven Achenjang	Integral models of modular curves
Thu	Oct 26	20:00	Eunsu Hur	Modular forms and Hecke operators
Thu	Oct 19	20:00	Mikayel Mkrtchyan	Jacobians
Thu	Oct 12	20:00	Daniel Hu	Relative Picard functor
Thu	Oct 05	20:00	Frank Lu	Néron models
Thu	Sep 28	20:00	Sam Schiavone	Elliptic curves over a local field
Thu	Sep 21	20:00	Alice Lin	Group schemes
Thu	Sep 14	20:00	Zhao Yu Ma	Abelian varieties
Thu	Sep 07	20:00	Vijay Srinivasan	Overview of the proof
Mon	May 15	20:30	Aaron Landesman	Canonical models of Shimura varieties
Mon	May 08	20:30	Niven Achenjang	Complex Multiplication, Shimura-Taniyama formula
Mon	May 01	20:30	Dylan Pentland	Classification of Shimura varieties
Mon	Apr 24	20:30	Eunsu Hur	Shimura data and Shimura varieties
Mon	Apr 10	20:30	Anne Larsen	Hermitian symmetric domains and locally symmetric varieties
Mon	Apr 03	20:30	Gefei Dang	Hodge structures and variations
Mon	Mar 20	20:30	Kush Singhal	Review of reductive algebraic groups
Mon	Mar 13	20:30	Zifan Wang	Moduli space of abelian varieties II
Mon	Mar 06	21:30	Hao Peng	Moduli space of abelian varieties I
Mon	Feb 27	21:00	Meng Yan	Quotients of the Siegel upper half space
Mon	Feb 13	21:00	Kenta Suzuki	Complex tori and abelian varieties
Tue	Dec 13	16:00	Xinyu Zhou	The étale-Brauer obstruction and insufficiency of the obstructions
Tue	Dec 06	16:00	Niven Achenjang	The descent obstruction
Tue	Nov 29	16:00	Kush Singhal	An example of descent
Tue	Nov 22	16:00	Daishi Kiyohara	Unramified torsors
Tue	Nov 15	16:00	Alice Lin	Torsors over a scheme
Tue	Nov 08	16:00	Thomas Rüd	Torsors over finite fields, local fields, and global fields
Tue	Nov 01	15:00	Anne Larsen	Torsors of algebraic groups over a field
Tue	Oct 25	15:00	Aashraya Jha	The Brauer-Manin obstruction for conic bundles
Tue	Oct 18	15:00	Vijay Srinivasan	The Brauer-Manin obstruction
Tue	Oct 11	15:00	Weixiao Lu	Residue homomorphisms and examples of Brauer groups
Tue	Oct 04	15:00	Haoshuo Fu	The Hochschild-Serre spectral sequence
Tue	Sep 27	15:00	Hao Peng	Brauer groups of schemes
Tue	Sep 20	15:00	Kenta Suzuki	Review of étale cohomology
Tue	Sep 13	15:00	Sam Schiavone	Brauer groups of fields
Wed	May 18	14:00	Hyuk Jun Kweon	Proof of the amplification principle 2
Wed	May 11	14:00	Raymond van Bommel	Proof of the amplification principle 1
Wed	May 04	14:00	Anlong Chua	Unlikely intersection theory and the Ax-Schanuel theorem
Wed	Apr 27	14:00	Fei Hu	Uniformity for rational points
Wed	Apr 20	14:00	Aashraya Jha	Proof of the new gap principle 2
Wed	Apr 13	14:00	Niven Achenjang	Proof of the new gap principle 1
Wed	Apr 06	14:00	Alice Lin	Height bounds for nondegenerate varieties
Wed	Mar 30	14:00	Xinyu Zhou	Intersection theory and height inequality 2
Wed	Mar 16	14:00	Cong Wen	Intersection theory and height inequality 1
Wed	Mar 02	15:00	Tony Feng	Uniform Mordell: review and preview 2
Wed	Feb 23	15:00	Tony Feng	Uniform Mordell: review and preview 1
Wed	Dec 15	15:00	Aashraya Jha	The height inequality and applications
Wed	Dec 08	15:00	Yujie Xu	Betti map and Betti form II
Wed	Dec 01	16:00	Yujie Xu	Betti map and Betti form I
Wed	Nov 17	16:00	Ryan Chen	Moduli spaces of curves and abelian varieties
Wed	Nov 10	16:00	Weixiao Lu	Algebraization of complex tori
Wed	Nov 03	15:00	Vijay Srinivasan	Line bundles on complex tori
Wed	Oct 27	14:00	Niven Achenjang	Vojta's approach to the Mordell conjecture II
Wed	Oct 20	15:00	Niven Achenjang	Vojta's approach to the Mordell conjecture I
Wed	Oct 13	15:00	Alice Lin	Comparison of Weil height and canonical height
Wed	Oct 06	15:00	Katia Bogdanova	Height machine
Wed	Sep 29	14:00	Nathan Chen	Big and nef line bundles
Wed	Sep 22	15:00	Angus McAndrew	Intersection theory with divisors
Fri	May 21	17:00	Shizhang Li	The étale comparison theorem
Fri	May 14	17:00	Zhiyu Zhang	Perfections in mixed characteristic
Fri	May 07	17:00	Zijian Yao	Extension to the singular case via derived prismatic cohomology
Fri	Apr 30	17:00	Tony Feng	$q$-crystalline cohomology
Fri	Apr 23	17:00	Danielle Wang	The $q$-de Rham complex
Fri	Apr 16	17:00	Avi Zeff	The Hodge-Tate and crystalline comparison theorems
Fri	Apr 09	17:00	Konrad Zou	The prismatic site
Fri	Apr 02	17:00	Sanath Devalapurkar	Perfect prisms and perfectoid rings
Fri	Mar 26	17:00	Samuel Marks	Distinguished elements and prisms
Fri	Mar 19	17:00	Tobias Shin	Derived categories for the working graduate student
Fri	Mar 12	18:00	Mikayel Mkrtchyan	Delta rings
Fri	Mar 05	18:00	James Myer	Introduction to prismatic cohomology
Fri	Feb 26	18:00	Naomi Sweeting	Crystalline cohomology
Fri	Feb 19	18:00	Ishan Levy	The infinitesimal site and algebraic de Rham cohomology
Mon	Dec 14	20:00	Daniel Kriz	Dwork's $p$-adic proof of rationality, continued
Mon	Dec 07	20:00	Daniel Kriz	Dwork's $p$-adic proof of rationality
Mon	Nov 30	20:00	Raymond van Bommel	The Bombieri-Stepanov approach to the Riemann hypothesis for curves over finite fields
Mon	Nov 16	20:00	Zhiyu Zhang	Vanishing cycles and deformation to hypersurfaces
Mon	Nov 09	20:00	Alexander Petrov	Weights and monodromy
Mon	Nov 02	20:00	Hyuk Jun Kweon	Alterations
Mon	Oct 26	19:00	Ziquan Yang	The Riemann hypothesis for hypersurfaces
Mon	Oct 19	19:00	Francesc Fité	Deligne's version of the Rankin method
Mon	Oct 12	19:00	Sanath Devalapurkar	Étale fundamental groups
Mon	Oct 05	19:00	David Roe	Constructible sheaves
Mon	Sep 28	19:00	Samuel Marks	Rationality and functional equation of the zeta function
Mon	Sep 21	19:00	Matthew Hase-Liu	Introduction to étale cohomology
Mon	Sep 14	19:00	Niven Achenjang	Smooth and étale morphisms
Mon	Sep 07	19:00	Danielle Wang	Statements of the Weil conjectures, proof for curves via the Hodge index theorem
Wed	May 13	14:00	Daniel Kriz	Construction of Katz $p$-adic $L$-functions
Wed	May 06	14:00	Zijian Yao	CM Hilbert-Blumenthal abelian varieties
Wed	Apr 29	14:00	Ziquan Yang	$p$-adic Eisenstein series
Wed	Apr 22	14:00	Tony Feng	Differential operators on modular forms
Wed	Apr 15	14:00	Alexander Petrov	$p$-adic modular forms on Hilbert modular varieties
Wed	Apr 08	14:00	Si Ying Lee	Modular forms on Hilbert modular varieties

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