Speaker
Dimitri Wyss
(EPF Lausanne/IST Austria)
Abstract
The topological mirror symmetry conjecture of Hausel-Thaddeus predicts an equality of Hodge numbers of certain $\mathrm{SL}_n$ and $\mathrm{PGL}_n$ -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.
