Oct 31, 2019

# From the McKay correspondence to a motivic version of topological mirror symmetry

Date: October 31, 2019 | 2:00 pm – 4:30 pm
Speaker: Francois Loeser, Sorbonne Université
Location: University of Vienna

Groechenig, Wyss and Ziegler have recently proved a conjecture of Hausel and Thaddeus concerning an equality between stringy Hodge numbers

of moduli spaces of Higgs bundles for  $\mathrm{SL}_n$ and $\mathrm{PGL}_n$. A crucial ingredient in their approach is the use of $p$-adic integration in the fibres of the Hitchin fibration. I will start by presenting some old work with Jan Denef on the McKay correspondence (on resolutions of quotients by finite groups) that reappears in this context and then discuss a motivic version of the results of Groechenig, Wyss and Ziegler which is joint work with Dimitri Wyss.

Date:
October 31, 2019
2:00 pm – 4:30 pm

Speaker:
Francois Loeser, Sorbonne Université

Location:
University of Vienna

Contact:

Oosthuizen-Noczil Birgit

Email:
birgit.oosthuizen-noczil@ist.ac.at