Event
Vincent Bouchard, Universit茅 d'Alberta
Tuesday, October 24, 2017 15:30to16:30
Room 4336, Pav. Andr茅-Aisenstadt, 2920, ch. de la Tour, CA
Quantization and topological recursion
One of the underlying mathematical reasons for the ubiquity of the Eynard-Orantin topological recursion in physics and geometry appears to lie in quantization. Indeed, the topological recursion is a particular example of a quantum Airy structure, a concept that was very recently introduced by Kontsevich and Soibelman in terms of quantization of quadratic Lagrangian submanifolds in abstract symplectic spaces. In this talk I will explain what this is all about (and why you should care!), and I will propose a generalization of quantum Airy structures which implies new unexpected connections between geometry, W-algebras and vertex algebras.