2 p.m. - 3 p.m. Location: JO 4.614
Département de mathématiques
Universite de Sherbrooke
What quantum mechanics knows about moduli spaces of algebraic curves
In this talk I will introduce the topological recursion of Chekhov-Eynard-Orantin which produces a hierarchy of multivariable differentials defined on a given algebraic curve. Differentials obtained in this way have been linked to various invariants in geometry and topology as well as to wave functions of quantum systems. I will consider one particular quantum system, that of the harmonic oscillator, in detail and show that there is a relationship between its wave function and spaces of ribbon graphs as well as moduli spaces of stable curves.
Sponsored by the Department of Mathematical Sciences