# 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.