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Back to Departmental Colloquium: Spring 2015

Departmental Colloquium


Date: Thursday, Jan 15, 2015

Time: 4:00PM

Location: LCB 219


Davide Reduzzi

The University of Chicago

Title

Torsion and Galois representations

Abstract

The absolute Galois group of a number field is a mysterious object, that one can try to understand by means of its representations. It is known that holomorphic cuspidal modular newforms are, in a suitable sense, a source of many p-adic Galois representations. More generally, it is conjectured that also torsion classes in the coherent cohomology of Shimura varieties have attached Galois representations, with prescribed local properties. I will give an introduction to these themes, and present results obtained in collaboration with Matthew Emerton and Liang Xiao toward the conjecture.

Number Theory Representation Theory Algebraic Geometry

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