Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

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• Belkale, P (North Carolina)
• Tuesday 28 June 2011, 10:00-11:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

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We prove that the vector bundles of conformal blocks, on moduli spaces of genus zero curves with marked points, for arbitrary simple Lie algebras and arbitrary integral levels, carry geometrically defined unitary metrics (as conjectured by K. Gawedzki) which are preserved by the Knizhnik-Zamolodchikov/Hitchin connection. Our proof builds upon the work of T. R. Ramadas who proved this unitarity statement in the case of the Lie algebra sl(2) (and genus zero) and arbitrary integral level.

This talk is part of the Isaac Newton Institute Seminar Series series.

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