# Colloquium abstracts

**Gerald Gotsbacher**

TIFR

November 11, 2010

**Eisenstein series in the cohomology of locally symmetric spaces**: Locally symmetric spaces and their cohomology (Betti, de Rham, Lie algebra etc.) are ubiquitous in number theory and geometry for various reasons, one being the fact that they lie at the heart of the theory of automorphic forms. Taking this point of view, I will explain and illustrate in terms of examples how Eisenstein series can be used to identify and construct non-trivial classes in the context of these cohomology theories.