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M-Seminar: The curious hard Lefschetz property for character varieties

Speaker: Anton Mellit (University of Vienna)

Abstract: I will talk about a way to decompose various character varieties into cells where each cell looks like a product of an affine space and a symplectic torus. This can be thought of as abelianization. As an application, we deduce the curious hard Lefschetz property conjectured by Hausel, Letellier and Rodriguez-Villegas, which claims that the operator of cup product with the class of the holomorphic symplectic form is an isomorphism between complementary degrees of the associated graded with respect to the weight filtration of the cohomology.

Dial-In Information

Zoom Link

Meeting ID: 958 3425 4862

Thursday, September 17 at 1:30pm to 2:30pm

Event Type

Lecture, Colloquia, Seminar

Website

https://www.math.ksu.edu/research/m-c...

Department
Mathematics, Department of
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