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On the vanishing of cohomology for certain unitary Shimura varieties

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Speaker: 
Ana Caraiani
Affiliation: 
Universit├Ąt Bonn
Date: 
Wed, 2017-07-19 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

I will prove that the compactly supported cohomology of certain unitary Shimura varieties at level Gamma_1(p^\infty)l vanishes above the middle degree. I will describe the steps in the proof using modular curves as a toy model. I will also discuss 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 progress with A. Dotto, D. Gulotta, M. Gerbelli-Gauthier, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, M. Santos, and S.C. Shih.

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