Jun 19 – 23, 2017
SISSA
Europe/Rome timezone

Topological mirror symmetry via p-adic integration

Jun 19, 2017, 2:30 PM
30m
Room D (basement) (SISSA)

Room D (basement)

SISSA

Via Beirut 2 - 4, 34151, Trieste, Italy (note that this is not SISSA's current main building but the old building in the Miramare park)

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.

Presentation materials