Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Wednesday 17 January 2018
Time 10:00
Institute IHES
Seminar Room CCMJS
Speaker's Last Name Caraiani
Speaker's First Name A.
Speaker's Email Address
Speaker's Institution Imperial College
Title On the vanishing of cohomology for certain Shimura varieties
Abstract I will prove that the compactly supported cohomology of certain unitary or symplectic Shimura varieties at level Gamma_1(p^\infty) vanishes above the middle degree. The key ingredients come from p-adic Hodge theory and studying the Bruhat decomposition on the Hodge-Tate flag variety. I will describe the steps in the proof using modular curves as a toy model. I will also mention an application to Galois representations for torsion classes in the cohomology of locally symmetric spaces for GL_n. This talk is based on joint work in preparation with D. Gulotta, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, and S.C. Shih.
arXiv Preprint Number
Comments Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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