Representations of quantum affine algebras via cluster algebras

Abstract

Abstract: Quantum affine algebras are types of quantum groups whose representation theory have been intensively studied, in relation with some natural questions arising from mathematical physics. In this talk, I will focus primarily on a category O of representations of such a quantum group. We will see how the input from combinatorics, via cluster algebras, yields results in the study of these representations.

Date
Mar 12, 2019
Location
Universität Wien
Vienna, Austria
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Léa Bittmann
Research Associate