Number Theory

Title: Local-global compatibility and monodromy
Speaker: Ana Caraiani
Speaker Info: Harvard University
Brief Description:
Special Note: There will be an introductory preseminar talk 2:00-2:45 in 101 Annenberg Hall.

Given a cuspidal automorphic representation of GL(n) over a CM field which is regular algebraic and conjugate self-dual, one can associate to it a Galois representation. This Galois representation is known in most cases to be compatible with local Langlands. When n is even, the compatibility is known up to semisimplification or when the representation satisfies an additional regularity condition. I will extend the compatibility to Frobenius semisimplification by identifying the monodromy operators.
Date: Monday, October 24, 2011
Time: 3:00PM
Where: 107 Lunt
Contact Person: Ellen Eischen
Contact email: eeischen@math
Contact Phone: 847-467-1891
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