Representation theory and combinatorics, from Young tableaux to the loop Grassmannian

28 November 2003
16:30
Abstract
A little more than 100 years ago, Issai Schur published his pioneering PhD thesis on the representations of the group of invertible complex n x n - matrices. At the same time, Alfred Young introduced what later came to be known as the Young tableau. The tableaux turned out to be an extremely useful combinatorial tool (not only in representation theory). This talk will explore a few of these appearances of the ubiquitous Young tableaux and also discuss some more recent generalizations of the tableaux and the connection with the geometry of the loop grassmannian.