Department of Mathematics

Algebra

  •  Patrick Daniels, University of Michigan
  •  Canonical integral models for Shimura varieties defined by tori
  •  09/26/2022
  •  3:00 PM - 4:00 PM
  •  C304 Wells Hall
  •  Georgios Pappas (pappasg@msu.edu)

Pappas and Rapoport have recently conjectured the existence of canonical integral models for Shimura varieties with parahoric level structure, which are characterized using Scholze's theory of p-adic shtukas. We will illustrate the conjecture using the example of Shimura varieties defined by tori, where (surprisingly) the theory is already nontrivial. Along the way we will explain a connection with the Bhatt-Scholze theory of prismatic F-crystals.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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