Title: Tensor spaces, braid groups, and some remarkable quotients
Speaker: Zajj Daugherty (University of Melbourne/City College of New York)
Abstract: In his thesis work, Schur constructed a powerful link between the symmetric group and the general linear group via commuting actions on a common vector space. More recently, there has been a cascade of developments surrounding centralizer algebras, with consequences in many fields including representation theory, combinatorics, knot theory, and statistical mechanics. We will take a brief tour of some important examples of centralizer algebras, and discuss how seeing them in this light can reveal a wealth of information.