Wednesday 30th June 2021, 14h00 - 14h45 GMT (15h00 - 15h45 Lisbon)

Anton Mellit (Vienna)

I will talk about Lefschets-type sl2 action on the cohomology of the moduli space of stable GL_n-Higgs bundles. It turns out, the S matrix of this action interchanges the operators of multiplication by certain tautological classes with certain monodromy operators. In a joint project with Tamas Hausel we attempt to guess a complete list of relations between these operators. This is then implies some relations in the cohomology ring. Conjecturally, we obtain all relations in ranks 2 and 3.

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