Quantum curves for Hitchin fibrations

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Event details

Date 11.11.2013
Hour 15:1517:00
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).

Practical information

  • General public
  • Free

Organizer

  • Tamas Hausel

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