Speakers: Gaëtan Borot (Humboldt-Universität zu Berlin)

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. 

https://indico.math.cnrs.fr/event/11626/