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Speaker:

Jacob Tsimerman
Affiliation:

University of Toronto
Date:

Thu, 25/07/2024 - 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

Conference on "Arithmetic Geometry", July 22 - 26, 2024 (Joint with Ananth Shankar and Ben Bakker) Given an (exceptional) Shimura variety S, we prove the existence of integral canonical models for S at all sufficiently large primes. Our method passes through finite characteristic and relies on a partial generalization of the work of Ogus-Vologodsky. As applications, we prove analogues of tate semisimplicity in finite characteristic, CM lifting theorems for ordinary points, and the Tate isogeny theorem for ordinary points.

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