Séminaire de Mathématique

Quantum curves for Hitchin systems and the Eynard-Orantin theory

by Prof. Motohico MULASE (University of California, Davis & IHÉS)

Amphitéâtre Léon Motchane (IHES)

Amphitéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
A quantum curve is a magical object. It conjecturally captures information of quantum topological invariants in a concise manner. In this talk we will discuss a method of constructing quantum curves by quantizing the spectral curves of Hitchin systems in terms of the WKB method. The quantization is performed by applying the Eynard-Orantin theory, which is a generalization of the topological recursion formalism developed by Eynard and Orantin in 2007. The talk is based on my joint work with Olivia Dumitrescu.