Mon, 01 May 2017
14:15 -
15:15
L4
E-polynomials of character varieties and applications
Marina Logares
(Plymouth)
Abstract
Character varieties have been studied largely by means of their correspondence to the moduli space of Higgs bundles. In this talk we will report on a method to study their Hodge structure, in particular to compute their E- polynomials. Moreover, we will explain some applications of the given method such as, the study of the topology of the moduli space of doubly periodic instantons. This is joint work with A. González, V.Muñoz and P. Newstead.