EVENT DETAILS AND ABSTRACT

Title: Conformal blocks, Verlinde formula and diagram automorphisms
Speaker: Jiuzu Hong
Speaker Info: University of North Carolina at Chapel Hill
Brief Description:
Special Note:
Abstract:

The Verlinde formula computes the dimension of conformal blocks associated to simple Lie algebras and Riemann surfaces. If the simple Lie algebra admits a nontrivial diagram automorphism, then this automorphism acts on the space of conformal blocks naturally. We prove an analogue of Verlinde formula for the trace of the diagram automorphism on conformal blocks. Motivated by this formula and Jantzen's twining formula, we make a conjecture on the Verlinde formula for the dimension of conformal blocks associated to twisted affine Lie algebras.