|ARITHMETIC HOMOGENEOUS SPACES|
|Topic:||Ihara's Lemma and the Sato-Tate Conjecture|
|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.