Dimitri Wyss will speak on

Topological mirror symmetry via p-adic integration

Abstract: The topological mirror symmetry conjecture of Hausel-Thaddeus predicts an equality of Hodge numbers of certain SL_n and PGL_n -Higgs moduli spaces which are known to be mirror partners in the sense of Strominger, Yau and Zaslow. In my talk I will explain how to prove this conjecture my means of p-adic integration along the Hitchin fibration. This is joint work Michael Groechening and Paul Ziegler.