Luis Garcia

University College London

Eisenstein cocycles and values of L-functions

Heilbronn Number Theory Seminar

3rd November 2021, 4:00 pm – 5:00 pm
Fry Building, 2.04

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. I will also discuss an application to conjectures of Sczech and Colmez on critical values of Hecke L-functions. The talk is based on work-in-progress with Nicolas Bergeron and Pierre Charollois.

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