Orateur: Ramanujan Santharoubane (Institut de Mathématiques de Jussieu, Paris)
Titre: Quotients of surface groups and homology of finite covers via quantum representations.
Résumé: I will show how from Witten-Reshetikhin-Turaev TQFT, we can produce interesting representations of surface groups. The key fact is the following : these "quantum representations" of surface groups have infinite images but every simple loop acts with finite order. Using this key fact and integral TQFT, we will see how to build regular finite covers of surfaces where the integral homology is not generated by pullbacks of simple closed curves on the base. This talk represents joint work with T.Koberda.

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