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SUMMARY: Quantum curves for Hitchin fibrations
DTSTART:20131111T151500
DTEND:20131111T170000
DTSTAMP:20260511T072954Z
UID:14af11d96684b721cc423827b36fe506034f06d6d417e97a9e5c366c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Motohico Mulase (UC Davis)\nA quantum curve is a magical objec
 t. It conjecturally captures a lot of information of quantum topological i
 nvariants in a compact manner. Mathematically a quantum curve is a D-modul
 e on a complex curve with a prescribed semi-classical limit.\nIn the first
  part of this talk\, I will start with a question: "what is the mirror dua
 l to the Catalan numbers?" By answering this question\, I will introduce t
 he idea of the Eynard-Orantin theory. In the second part of the talk\, I w
 ill show that the Eynard-Orantin theory is designed to give the canonical 
 generator of D-modules over any complete algebraic curve\, quantizing spec
 tral curves of Hitchin fibrations. The talk is based on my joint work with
  Olivia Dumitrescu (Hannover).
LOCATION:MA A110 http://plan.epfl.ch/?lang=fr&room=MA+110
STATUS:CONFIRMED
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