Conformal blocks for Galois covers of algebraic curves

Abstract: The theory of conformal blocks is important in 2d rational conformal field theory. It is defined via Wess-Zumino-Witten 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 this talk, I will talk about a twisted theory of conformal blocks attached to Galois covers of algebraic curves, where twisted Kac-Moody algebra will play key roles. More precisely, I will explain the propagation and factorization properties, and locally freeness of the sheaf of twisted conformal blocks on the Hurwitz stack of stable Galois covers of algebraic curves. This talk is based on the joint work with Shrawan Kumar.

commutative algebraalgebraic geometrycategory theorygroup theoryK-theory and homologyquantum algebrarepresentation theory

Audience: researchers in the topic

KSU algebra seminar

Series comments: Description: Algebra related topics in Mathematics