Geometry Seminar

University of Tor Vergata, Department of Mathematics

14th of March 2023, 14:30-15:30, room “Dal Passo”

Speaker

Mirko Mauri

(Institute of Science and Technology Austria)

Title

Hodge-to-singular correspondence

Abstract

We show that the cohomology of moduli spaces of Higgs bundles decomposes in elementary summands depending on the topology of the symplectic singularities on a (fixed!) master object and/or the combinatorics of certain posets and lattice polytopes. This is based on a joint work with Luca Migliorini and Roberto Pagaria.