Seminar "Arithmetic of Algebraic Groups"

Seminar "Arithmetic of Algebraic Groups"
covering all of the winter term. The topics dealt with are centered around arithmetic groups, their cohomology groups [in various disguises] and their relation with the theory of automorphic forms. Some of the results obtained have interesting applications in the latter theory, and, more generally, in number theory. Since arithmetic groups have a very distinctive geometric flavour [via their action on suitable symmetric spaces or other geometric objects] we will also look at the resulting quotient spaces from a geometric point of view, for example, by studying the construction of geometric cycles and related questions.