Ihara's Lemma and the Sato-Tate Conjecture

ARITHMETIC HOMOGENEOUS SPACES
Topic:Ihara's Lemma and the Sato-Tate Conjecture
Speaker:Richard Taylor
Affiliation:Harvard University
Date:Friday, October 28
Time/Room:11:00am - 12:30pm/S-101

I will explain a conjectural generalisation of Ihara's lemma in the theory of modular forms to higher dimensional automorphic forms and sketch how this conjecture implies the Sato-Tate conjecture for rational elliptic curves with somewhere multiplicative reduction.