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math.NT2021★ 8 cited
The stable trace formula for Shimura varieties of abelian type
Mark Kisin, Sug Woo Shin, Yihang Zhu
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…
math.NT2021★ 2 cited
of Igusa varieties via automorphic forms
Arno Kret, Sug Woo Shin
Our main theorem describes the degree 0 cohomology of Igusa varieties in terms of one-dimensional automorphic representations in the setup of mod p Hodge-type Shimura varieties wit…