Conformal Blocks, Kummer Surfaces and Quantum Representations of the Mapping Class Group

Johan Martens (University of Edinburgh)

Monday 10th March, 2014 16:00-17:00 Maths 204


Originating in statistical mechanics, bundles of conformal blocks have in the last few decades increasingly become useful in geometry and topology.   I will sketch a brief overview of some such developments, all of which are concerned with “large level asymptotics”.  I will then try to convince the audience that also sporadic low-level behaviour can be interesting, by focusing on the (WZW) conformal blocks for SU(2) at level 4, in particular for Riemann surfaces of genus 2.  This is joint ongoing work with T. Baier and M. Bolognesi.

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