Catharina Stroppel, Universität Bonn/University of Chicago. Catharina Stroppel is a professor of mathematics at Universität Bonn, though she is currently visiting the University of Chicago. Upon completing his Ph.D. in Freiburg under the direction of Professor Wolfgang Soergel in 2001, Prof. Stroppel spent time at the University of Leicester, then moved to Aarhus University, University of Glasgow before coming to Bonn in the late 2000's. She is regarded as an expert in the areas of representation theory and combinatorics. See for instance her results "Category O: gradings and translation functors" from 2003 and "Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors" from 2005.
Nov 01, 2012
from 04:00 PM to 05:00 PM
|Contact Name||Jeremy Marzuola|
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Title: Fusion algebras and quantum cohomology of Grassmannians.
Abstract: The representation theory of a quantum group at a root of unity provides naturally interesting semisimple tensor categories. Their Grothendieck rings are called Verlinde or fusion algebras. It is well-known that the representation theory of the general linear Lie algebra as well as the cohomology of Grassmannians can be described using the combinatorics of symmetric functions. In the talk I will extend these connections to give a relationship between fusion algebras and quantum cohomology that was first observed and proved by Witten with mathematical physics methods.