8 citations · 8 across the 4 of their papers we have counts for
7 papers · 1 filter
Torsion-vanishing for Siegel modular varieties via supercuspidal congruences
Ana Caraiani, Sug Woo Shin
We prove that the generic part of the cohomology of Siegel modular varieties with torsion coefficients is concentrated above the middle degree, under a suitable notion of genericit…
To be or not to be local
Christophe Breuil, Florian Herzig, Yongquan Hu +4
Let be a prime number and a finite unramified extension of . For a smooth representation of occurring in some Hecke eigenspace of the m…
Local Intertwining Relations and Co-tempered -packets of Classical Groups
Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3
The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…
Recent progress on Langlands reciprocity for : Shimura varieties and beyond
Ana Caraiani, Sug Woo Shin
The goal of these lecture notes is to survey progress on the global Langlands reciprocity conjecture for over number fields from the last decade and a half. We high…
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…
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…