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Topology/Geometry Seminar

Genus two analogue of A_1 spherical DAHA

Semeon Artamonov, Rutgers University

Location:  Hill 525
Date & time: Tuesday, 26 September 2017 at 3:30PM - 4:30PM

Abstract:

Double Affine Hecke Algebra can be viewed as a noncommutative (q,t)-deformation of the SL(N,C) character variety of the fundamental group of a torus. This deformation inherits major topological property from its commutative counterpart, namely Mapping Class Group of a torus SL(2,Z) acts by automorphisms of DAHA. In my talk I will define a similar algebra for a closed genus two surface and show that the corresponding Mapping Class Group acts by automorphisms of such algebra.

(This talk is based on arXiv:1704.02947 joint with Sh. Shakirov)

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