100 years of the Schur-Weyl Duality

Date: Tuesday 29 November 2022

Abstract

Schur algebras are certain finite dimensional algebras introduced by Issai Schur, one of the pioneers in representation theory, at the beginning of last century to relate representations of the general linear and symmetric groups. This theory is also known as the Schur-Weyl duality. Over its history of one hundred years, Schur algebras continue to make profound influence in several areas of mathematics such as Lie theory, representation theory, invariant theory, combinatorics, and so on. I will discuss its latest developments from the quantum version of the duality in late 80s to the affine/super analogues and its recent generalization to types other than A via quantum symmetric pairs.