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Seminar Gæsteforelæsning

11.06.2024   kl. 16:15 - 17:15

QM Research Seminar: Cohomology rings of character varieties

Speaker: Anton Mellit (University of Vienna)


Abstract:

I will give an introduction and present some recent progress towards understanding the cohomology rings of character varieties of Riemann surfaces, such as the proof of the P=W conjecture and the computation of the zero-dimensional COHA. In the case of punctured sphere I will present an explicit description relating the cohomology rings to the Hilbert scheme of C^2, refining conjectures of Hausel-Letellier-Rodriguez-Villegas and Chuang-Diaconescu-Donagi-Pantev.