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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.NT2018★ 5 cited
The stabilization of the Frobenius--Hecke traces on the intersection cohomology of orthogonal Shimura varieties
Yihang Zhu
We study Shimura varieties associated with special orthogonal groups over the field of rational numbers. We prove a version of Morel's formula for the Frobenius--Hecke traces on th…