STAGE

algebraic geometry number theory

Audience:	Advanced learners
Seminar series time:	Tuesday 16:00-17:30 in your time zone, UTC
Organizers:	Niven Achenjang, Weixiao Lu, Bjorn Poonen, Vijay Srinivasan, 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 2022 topic: Cohomological obstructions to rational points.

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
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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