Eisenstein cocycles and values of L-functions

Abstract: There are several recent constructions by many authors of Eisenstein cocycles of arithmetic groups. I will discuss a point of view on these constructions using equivariant cohomology and equivariant differential forms. The resulting objects behave like theta kernels relating the homology of arithmetic groups to algebraic objects. As an application, I will explain the proof of some conjectures of Sczech and Colmez on critical values of Hecke L-functions. The talk is based on joint work with Nicolas Bergeron and Pierre Charollois.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar