Painleve monodromy varieties: classical and quantum (Vladimir Roubtsov, Université d'Angers)

17.02.2016 10:30

We introduce the notion of bordered cusped Teichmüller space as the Teichmüller space of Riemann surfaces with at least one hole and at least one bordered cusp on the boundary.
We propose a combinatorial graph description of this bordered cusped Teichmüller space and endow it with a Poisson structure in such a way that quantization can be achieved with a canonical quantum ordering.
A notion of decorated character varieties for Painleve confluented equations is introduced.
We discuss various quantum algebras arised in this context.

Lieu

Bâtiment: Battelle

Villa Battelle, Séminaire "Groupes de Lie et espaces des modules"

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