Oct 17–18, 2024
Perimeter Offsite Location / Sky Room
America/Toronto timezone

Centralizers of quantum groups, orthogonal polynomials and link invariants

Oct 18, 2024, 3:00 p.m.
15m
PI/3-394 - Skyroom (Perimeter Institute for Theoretical Physics)

PI/3-394 - Skyroom

Perimeter Institute for Theoretical Physics

60
Lightning Talk

Speaker

Meri Zaimi (Perimeter Institute for Theoretical Physics)

Description

Abstract: In this talk, I will discuss centralizers of the quantum groups associated to the Lie algebras S|N when acting on a tensor product of vector spaces, in the spirit of the Schur–Weyl duality. I will briefly explain how in some cases the centralizers can be described with the help of an algebra related to orthogonal polynomials, and I will discuss their diagrammatic interpretation in the context of link invariants and Chern–Simons theory, a topological quantum field theory.

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