| 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.