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Title:
Conformal blocks and Higgs bundles for spin groups
Speaker:
Abstract:
This will be a two part talk based on joint work with Swarnava Mukhopadhyay. In the first part, I will briefly discuss the problem of level-rank and strange duality for orthogonal groups. I will mention the proof of the Oxbury-Wilson conjecture on the Verlinde formula for spin groups, and the existence of a Hitchin connection on the space of generalized theta functions for "twisted" spin bundles. This leads to the main part of the talk which addresses spectral data for spin Higgs bundles. A key point is the relation between Abe's Hecke transformations of orthogonal bundles and Hitchin's spectral data. A direct proof of Langlands duality for the fibers of the Hitchin integrable system follows from this description.
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