University of California, San Diego.

Date  Speaker  Topic 
Feb 22, Wed. 
Marcel Bischoff
Vanderbilt University 
Fusion Categories from Subfactors and Conformal Nets
Abstract: Fusion categories are generalizations of the representation categories of finite groups. One source of new fusion categories are subfactors, inlusions of von Neumann algebras with trivial center. The search for exotic subfactors led to new interesting fusion categories. One can study chiral conformal field theory via socalled conformal nets. I will explain how conformal nets give rise to fusion categories via its (higher) representation theory. It is an open question if all unitary fusion categories come from conformal nets. I will give examples of families of fusion categories for which one can reconstruct a conformal net. Time: Wed., 4pm; Room: APM 6402 (Please notice the unusual time, day, and location.) 
March 13 
Oded Yacobi
University of Sydney 
Quantizations of slices in the affine Grassmannian
Abstract: I will describe an ongoing project to study slices to Schubert varieties in the affine Grassmannian. These are Poisson varieties, and we will be mainly interested in quantizing them. The resulting algebras, called truncated shifted Yangians, have a beautiful representation theory. We will discuss this and also mention some connections to Nakajima quiver varieties which were recently discovered by BravermanFinkelbergNakajima and Webster. In the pretalk I'll define the affine Grassmannian and discuss its role in geometric representation theory. 
March 20 
James Zhang
University of Washington 
ADE diagrams and noncommutative invariant theory.
Abstract: We give a survey on recent work of Bao, Chan, Gaddis, He, Kirkman, Moore, Walton, Won, and others in noncommutative invariant theory. Room: APM 5402 (Please notice the unusual location.) 