Complex analytic orbifolds give rise rise to natural examples of twisted local systems, for which the fundamental group acts non-trivially on the coefficients. In this talk, we investigate these twisted local systems from the point of view of (twisted) character varieties. These are affine varieties over the complex numbers, whose (strong) topology can be studied through an appropriate generalization of the non-Abelian Hodge correspondence to the orbifold context. Time permitting, we will see how these twisted character varieties can be used to classify certain local systems in the usual sense, that we call Bruhat-Tits local systems, on the coarse moduli space of the orbifold.
Time & Location
Jul 07, 2020 | 04:00 PM
The talk will be held via WebEx.
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