Talks and Seminars

Higgs26: Topological mirror symmetry for SL_n/PGL_n Higgs bundlesWorkshop

by Elsa Maneval (EPFL)

Europe/Berlin
Endenicher Allee 60, R. 0.008 (Mathezentrum)

Endenicher Allee 60, R. 0.008

Mathezentrum

Description

I will first introduce the moduli spaces of Higgs bundles that appear in the Hausel-Thaddeus topological mirror symmetry conjecture, present its different proofs and generalisations. In particular I will explain the p-adic integration approach of Groechenig, Wyss and Ziegler. Finally, I will present my result, which is a generalisation beyond the original coprime case of the key intermediate step of this approach, which we call a non-archimedean topological mirror symmetry.