28th april 2021: Mapping class groups from TQFT

Shamil Shakirov

Title: Mapping class groups from TQFT Abstract: We give a motivated definition of TQFT as a monoidal functor, and present an interesting example using Reshetikhin-Turaev construction with single parameter q. We show how this provides representations of mapping class groups of two-dimensional surfaces. Two equivalent esentations appear in this way: by operators on finite-dimensional vector spaces and by automorphisms of certain algebras. We show that representations of second type admit generalization to generic complex values of the parameter q.

Zoom link: https://unige.zoom.us/j/729148170?pwd=cENIVW4wa2xybmM2YjhMNlREUTBuQT09

Meeting ID: 729 148 170

Password: Tortue

Wednesday 28th April 2021, 14:00