Algebraic and Arithmetic Geometry Seminar

Hodge-to-singular correspondence

by Mirko Mauri (IST Austria)

Europe/Rome
Aula Magna (Department of Mathematics)

Aula Magna

Department of Mathematics

Description

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.