Schedule

Monday, October 1

08:30 - 9:30 Registration
09:30 - 10:30 Stephen Kudla: Modular generating series for arithmemic special divisors
10:30 - 11:00 Coffee break (and registration)
11:00 - 12:00 Vincent Pilloni: Hecke operators and the coherent cohomology of Shimura varieties
12:00 - 14:30 Lunch break
14:30 - 15:30 <link#15053> Torsten Wedhorn: The tautological ring for good reductions of Shimura varieties of Hodge type

Tuesday, October 2

09:30 - 10:30 Tasho Kaletha
10:30 - 11:00 Coffee break
11:00 - 12:00 Colette Moeglin: Multiplicity in the space of square integrable automorphic forms
12:00 - 15:00 Lunch break
15:00 - 16:00 Ben Howard: Moduli spaces of shtukas and a higher derivate Gross-Kohnen-Zagier formula
16:00 - 16:30 Coffee break
16:30 - 17:30 Wei Zhang: Arithmetic Fundamental Lemma: old and new

Wednesday, October 3

09:00 - 10:00 David Hansen: Filtering vector bundles on the Fargues-Fontaine curve, and applications
10:00 - 10:15 Break
10:15 - 11:15 Laurent Fargues
11:15 - 11:45 Coffee break
11:45 - 12:45 Bhargav Bhatt: Prismatic cohomology
Free afternoon  

Thursday, October 4

09:30 - 10:30 Gabriel Dospinescu: On the p-adic étale cohomology of the Drinfeld space
10:30 - 11:00 Coffee break
11:00 - 12:00 Sascha Orlik: On the pro-étale cohomology of Drinfeld´s upper half space
12:00 - 14:00 Lunch break
14:00 - 15:00 Zinwen Zhu
15:00 - 15:15 Short break
15:15 - 16:15 Timo Richarz: Smoothness of Schubert varieties in twisted affine Grassmannians I
16:15 - 16:45 Coffee break
16:45 - 17:45 Tom Haines: Smoothness of Schubert varieties in twisted affine Grassmannians II
19:00 Conference Dinner

Friday, October 5

09:30 - 10:30 George Pappas
10:30 - 11:00 Coffee break
11:00 - 12:00 Mark Kisin: Honda-Tate theory for Shimura varieties
12:00 - 14:00 Lunch break
14:00 - 15:00 Xuhua He: $B(G)$ and beyond
15:00 - 15:30 Coffee break
15:30 - 16:30 Eva Viehmann: The Newton poset for some Iwahori double cosets

Abstracts

Bhargav Bhatt: Prismatic cohomology

I will explain the definition and the basic comparison isomorphisms for prismatic cohomology. As an application, we shall see a new proof of the almost purity theorem that does not involve localizing on (or talking about) adic spaces. Joint work with Peter Scholze.

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Stephen Kudla: Modular generating series for arithmetic special divisors

In joint work with Jan Bruinier, Ben Howard, Michael Rapoport and Tonghai Yang,

we proved that a certain generating series for the classes of arithmetic divisors on a regular integral model M of a Shimura variety for a unitary group of signature (n-1,1) for an imaginary quadratic field is a modular form of weight n valued in the first arithmetic Chow group of M. I will discuss how this is proved, highlighting the main steps. Key ingredients include information about the divisors of Borcherds forms on the integral model in a neighborhood of the boundary.

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Vincent Pilloni: Hecke operators and the coherent cohomology of Shimura varieties

We will explain some results towards the construction of Hecke operators on the integral coherent cohomology of Shimura varieties and give arithmetic applications. This is work in progress with Najmuddin Fakhruddin.

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