Jun 19 – 23, 2017
Europe/Rome timezone

Cohomology of character varieties

Jun 23, 2017, 11:20 AM
Room D (basement) (SISSA)

Room D (basement)


Via Beirut 2 - 4, 34151, Trieste, Italy (note that this is not SISSA's current main building but the old building in the Miramare park)


Anton Mellit (IST Austria)


A conjecture of Hausel, Letellier and Rodriguez-Villegas gives an explicit formula for the mixed Hodge polynomials of character varieties, which hints on a connection with Hilbert schemes. In another development Gorsky, Oblomkov, Rasmussen and Shende conjecture a connection between Hilbert schemes and homological invariants of torus knots and links. The purpose of this talk is to show that certain cell decompositions of character varieties produce an explicit connection between the two conjectures, allows us to calculate the cohomologies in some examples, and implies the so-called curious hard Lefschetz property.

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