Seminari del Dipartimento

 

Geometria

Intersection cohomology of character varieties of rank two

Mirko Mauri


18-03-2021 - 14:30
modalitĂ  telematica (telematic form)

 

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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org: Barbara Bolognese

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