Orateur : Gaëtan Borot (Humboldt-Universität zu Berlin)

Résumé

I will explain how the combinatorics of glueing/cutting surfaces is encoded in the Weyl algebra of differential operators on a vector space. This simple fact allows expressing the solution of appropriate systems of PDEs as a sum over "decomposition of surfaces", by a formalism called "topological recursion". I will describe some of the far-reaching and surprising manifestations of topological recursion in geometry and physics.  

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