Intersection cohomology of character varieties of rank two

Giovedì 18 marzo 2021, ore 14:30, Mirko Mauri  (MPIM Bonn) terrà il seminario di Geometria dal titolo "Intersection cohomology of character varieties of rank two".

Abstract: Character varieties parametrise representations of the fundamental group of a compact Riemann surface, and in general they are singular affine varieties. They are prototypes of singular hyperkahler varieties and provide examples of SYZ mirror pairs.

In this seminar, we will present the computation of the intersection cohomology of rank two character varieties. We will derive several results concerning the P=W conjecture and the Hausel-Thaddeus topological mirror symmetry conjecture for singular character varieties.

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