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# Jiuzu Hong (UNC-CH), Geometric Methods in Representation Theory Seminar

## September 30, 2016 @ 4:00 pm - 5:00 pm

**Title: ** Conformal blocks, Verlinde formula and diagram automorphisms

**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. I will report a recent result on the analogue of Verlinde formula for the trace of this automorphism on conformal blocks. Motivated by this formula and Jantzen’s twining formula, I will also give a conjecture on the Verlinde formula for the dimension of conformal blocks associated to twisted affine Lie algebras.