Jun 19 – 23, 2017
SISSA
Europe/Rome timezone

On the $E$-polynomial of parabolic $\mathrm{Sp}_{2n}$-character varieties

Jun 21, 2017, 11:40 AM
30m
Room D (basement) (SISSA)

Room D (basement)

SISSA

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)

Speaker

Vincenzo Cambò (SISSA, Trieste)

Abstract

In this talk, we find the $E$-polynomials of a family of parabolic $\mathrm{Sp}_{2n}$-character varieties via arithmetic methods, namely counting points over finite fields. We deduce relevant topological information like Euler characteristic and number of the connected components.

Presentation materials