Speaker: Eknath Ghate
Title: Modular Endomorphism Algebras
Affiliation: Tata Institute and UCLA.
Date: Tuesday, March 27, 2007.
Place and Time: Room 104, Love Building, 2:00-2:50 pm.
Refreshments: Room 204, Love Building, 3:00 pm.

Abstract. Modular forms are central objects of study in number theory. These functions contain a wealth of arithmetic information in their Fourier expansions, and also tend to be closely related to various geometric objects (such as elliptic curves, abelian varieties and even motives!). In this talk we shall study certain algebras which are naturally associated to modular forms. These algebras are the rings of self maps of the underlying geometric object. We will try and aim the talk at a broad audience.