The generalized theta functions on the moduli stack of torsors over parahoric group schemes

Abstract: The theory of conformal blocks is important in 2d rational conformal field theory. It is defined via WZW model. It is related to the geometry of moduli space of algebraic curves. Moreover, conformal blocks can be identified with generalized theta functions on the moduli stack of principle G-bundles.

In the previous talk, I explained the generalization of the work of Tsuchiya-Ueno-Yamada in a twisted setting. In this talk, I will continue to explain the identification between twisted conformal blocks and the generalized theta functions on the moduli stack of torsors over parahoric group schemes arising from Galois cover of curves. This talk will be based on the joint work with Shrawan Kumar.

algebraic geometrycategory theorygroup theoryquantum algebrarepresentation theory

Audience: researchers in the topic

KSU algebra seminar

Series comments: Description: Algebra related topics in Mathematics