Conformal Blocks Seminar

Speaker: Jesse Wolfson (Northwestern U)
Title: Loop Groups and Conformal Blocks
Date: Tue, Nov 19, 2013, 15:30 - 17:30
Place: Balcony A
Related File: 1072.pdf
Abstract: The goal of this talk is to explain how representations of of loop groups give rise to conformal blocks. I will start by reviewing conformal vertex algebras. I will then explain how representations of loop groups come with a canonical conformal vertex algebra structure (away from the critical level). I will conclude by defining the conformal blocks of a conformal vertex algebra, examining this in the case of vertex algebras coming from loop group representations, and briefly explaining the role of these conformal blocks in the geometry of moduli spaces of curves and bundles.