Supported by the Simons Collaboration on Perfection in Algebra, Geometry, and Topology

Hosted by UChicago Math

**Dates:** September 16-20, 2024

**Location:** Ryerson Hall 251, Campus Map

**Zoom Information:** We hope to livestream the
talks.
The Zoom meeting ID is 975 6423 7775 and the passcode is 414042.

**Organizers:** Matthew Emerton and
Akhil Mathew

- Tony Feng (UC Berkeley)
- Toby Gee (Imperial)
- Haoyang Guo (UChicago)
- Linus Hamann (Harvard)
- David Hansen (National University of Singapore)
- Pol van Hoften (VU Amsterdam)
- Naoki Imai (University of Tokyo)
- Brandon Levin (Rice)
- Jacob Lurie (IAS)
- Lue Pan (Princeton)
- Vytautas Paskunas (Essen)
- Alexander Petrov (Clay Math Institute)
- Gal Porat (Hebrew University of Jerusalem)
- Juan Esteban Rodriguez Camargo (Columbia)
- Ananth Shankar (Northwestern)
- Jared Weinstein (Boston University)
- Bogdan Zavyalov (Princeton/IAS)
- Mingjia Zhang (Princeton/IAS)

- 9:30-10:30
**Alexander Petrov**

*Characteristic classes of p-adic local systems*

- 11:00-12:00
**Pol van Hoften**

*p-divisible groups and p-adic Fourier theory*

- 2:30-3:30
**Brandon Levin**

*Weight part of Serre's conjecture and the Emerton-Gee stack*

- 4:00-5:00
**Jared Weinstein**

*The Picard group of the K(n)-local category*

- 9:30-10:30
**Tony Feng**

*Prismatic Steenrod operations and applications to Brauer groups*

- 11:00-12:00
**Toby Gee**

*Cuspidal cohomology classes for GL_n(Z)*

- 2:30-3:30
**Jacob Lurie**

*Rationalized Syntomic Cohomology*

- 4:00-5:00
**Bogdan Zavyalov**

*The trace morphism and Poincare Duality in p-adic non-archimedean geometry*

- 9:00-10:00
**Vytas Paskunas**

*On local Galois deformation rings: generalised reductive groups*

- 10:30-11:30
**Naoki Imai**

The syntomic realization functor for Shimura varieties

- 11:45-12:45
**Ananth Shankar**

*Integral canonical models of Shimura varieties*

- 9:30-10:30
**Lue Pan**

*Some recent developments in the Sen theory*

- 11:00-12:00
**Juan Esteban Rodriguez Camargo**

*Fargues-Fontaine de Rham stacks*

- 2:30-3:30
**Mingjia Zhang**

*Intersection cohomology of Shimura varieties*

- 4:00-5:00
**Gal Porat**

*Locally analytic vectors in mixed characteristic*

- 9:00-10:00
**Linus Hamann**

*Finiteness Theorems for Geometric Eisenstein Series*

- 10:30-11:30
**David Hansen**

*Geometric Whittaker coefficients and the Fargues-Fontaine curve*

- 11:45-12:45
**Haoyang Guo**

*Pointwise criteria of p-adic local systems*

There will be coffee breaks from 10:30-11:30 and 2:30-3:30 each day (except Wednesday and Friday). The classrooms Eckhart 131 and 133 have been reserved throughout the week for informal discussion among the conference participants.

The closest quick option for lunch near the department is the Reynolds Club (immediately north), which includes a Pret a Manger as well as several restaurants (from which one can either order in advance via Grubhub or at a kiosk inside).

Other options for lunch/coffee include:

- The Nile
- Medici
- Noodles Etc.
- Roux
- Nella
- Plein Air Cafe
- Fairgrounds
- Starbucks in Saieh Hall (on campus).
- Cafe 53 (near the Hyatt hotel).