Motohico Mulase - Quantum Curves
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 12/06/2017

Abstract:
Quantum curves have been conceived in physics as a compact way to encode quantum topological invariants and solutions to certain enumerative geometry problems. In this talk, we start with describing a few concrete mathematical examples.  We then present a geometric theory of quantum spectral curves of Higgs bundles.  Here, the process of quantization is a passage from moduli of Hitchin spectral curves to families of Rees D-modules on a curve. 
The talk is based on joint papers with Olivia Dumitrescu.