Quantum curves for Hitchin fibrations
Event details
| Date | 11.11.2013 |
| Hour | 15:15 › 17:00 |
| Speaker | Motohico Mulase (UC Davis) |
| Location | |
| Category | Conferences - Seminars |
A quantum curve is a magical object. It conjecturally captures a lot of information of quantum topological invariants in a compact manner. Mathematically a quantum curve is a D-module on a complex curve with a prescribed semi-classical limit.
In the first part of this talk, I will start with a question: "what is the mirror dual to the Catalan numbers?" By answering this question, I will introduce the idea of the Eynard-Orantin theory. In the second part of the talk, I will show that the Eynard-Orantin theory is designed to give the canonical generator of D-modules over any complete algebraic curve, quantizing spectral curves of Hitchin fibrations. The talk is based on my joint work with Olivia Dumitrescu (Hannover).
In the first part of this talk, I will start with a question: "what is the mirror dual to the Catalan numbers?" By answering this question, I will introduce the idea of the Eynard-Orantin theory. In the second part of the talk, I will show that the Eynard-Orantin theory is designed to give the canonical generator of D-modules over any complete algebraic curve, quantizing spectral curves of Hitchin fibrations. The talk is based on my joint work with Olivia Dumitrescu (Hannover).
Practical information
- General public
- Free
Organizer
- Tamas Hausel