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 |
Attachments |
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