New p-adic perspectives on canonical integral models for Shimura varieties

March 2 to March 6, 2026

at the

American Institute of Mathematics, Pasadena, California

organized by

Si Ying Lee, Keerthi Madapusi, George Pappas, and Alex Youcis

Original Announcement

This workshop will be devoted to new developments in integral p-adic cohomology theories, focusing in particular on their applications to the study of integral models of Shimura varieties.

The past decade has seen several innovations in p-adic cohomology, with the introduction, first of perfectoid geometry, and more recently, of prismatic cohomology and its refinements. The power of these general theories has been brought to bear on the problem of understanding the arithmetic behavior of Shimura varieties, both local and global, with applications to key number-theoretic frameworks like the Langlands and Kudla programs. The workshop’s goal is to push these applications further, and to explore new ones, with the eventual goal of obtaining a systematic and naturally functorial theory of integral models of Shimura varieties.

The main topics for the workshop are

  1. Prismatic/syntomic realizations for Shimura varieties beyond hyperspecial level
  2. Characterizing and constructing integral models of local and global Shimura varieties
  3. Applications to automorphic forms and cohomology of Shimura varieties

Material from the workshop

A list of participants.

The workshop schedule.

Workshop videos