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The stable trace formula for Shimura varieties of abelian type

Published 11 Oct 2021 in math.NT and math.AG | (2110.05381v1)

Abstract: We express the Frobenius-Hecke traces on the compactly supported cohomology of a Shimura variety of abelian type in terms of elliptic parts of stable Arthur-Selberg trace formulas for the endoscopic groups. This confirms predictions of Langlands and Kottwitz at primes where the level is hyperspecial.

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Authors (3)

  1. Mark Kisin 
  2. Sug Woo Shin 
  3. Yihang Zhu 

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