Mathematische Gesellschaft

Donnerstag, 30.06.2016


Prof. Dr. Markus Reineke, Ruhr-Universität Bochum

Character varieties of free groups


Abstract:

Character varieties parametrize representations of abstract groups (for example fundamental groups of manifolds) in Lie groups. We will study the GL(n)-character varieties of free groups, derive explicit formulas and positivity properties for certain homological invariants (the so-called E-polynomials) via counting over finite fields, and relate them to the subgroup growth of free groups.