Shimura curves and Ihara's lemma

Abstract: Ihara's lemma is a statement about the structure of the mod l cohomology of modular curves that was the key ingredient in Ribet's results on level raising. I will motivate and explain its statement, and then describe joint work with Jeffrey Manning on its extension to Shimura curves.

algebraic geometryalgebraic topologygroup theorynumber theoryrepresentation theory

Audience: researchers in the discipline

Queen Mary University of London Algebra and Number Theory Seminar