School and Workshop on Algebraic Geometry and Physics 2017

Topological mirror symmetry via p-adic integration

Jun 19, 2017, 2:30 PM

30m

Room D (basement) (SISSA)

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

Slides

Presentation_Dimitri_Wyss.pdf