Jun 19 – 23, 2017
Europe/Rome timezone

Character varieties and cohomological DT invariants

Jun 20, 2017, 4:10 PM
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)


Ben Davison (Glasgow University, UK)


I will pick up where Sven left off, and explain how the cohomology of smooth character varieties for a Riemann surface S may (conjecturally) be considered as the cohomological DT invariants for the category of representations of the fundamental group of S. That these cohomological DT invariants exist at all is a consequence of the cohomological integrality theorem, and that they should be given by the above conjecture is strongly suggested by work of Hausel and Villegas. I'll try to explain all this, along with some more recent developments.

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