COLLOQUIUM Gaëtan Borot "Topological recursion: what, why, what for?"

by Prof. Gaëtan Borot (Humboldt-Universität zu Berlin)

Salle René Baire (IMB)

Salle René Baire



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.