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SUMMARY:Critical limit of CFT and classical limit geometric Langlands
DTSTART:20240416T120000Z
DTEND:20240416T140000Z
DTSTAMP:20240523T162200Z
UID:indico-event-597@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Duong Dinh (MPIM)\n\nMore than 30 years ago\, Beilin
son and Drinfeld used techniques inspired by conformal field theories to
construct a natural quantization of the Hitchin integrable systems\,which
is a key ingredient in their approach to the geometric Langlands correspon
dence. For G = SL_2\, I will start by explaining the role of conformal fie
ld theories in this construction\, such as how the eigenfunctions of quant
um Hitchin Hamiltonians can appear as limits at critical level of solutio
ns to the Knizhnik–Zamolodchikov equations. I will then construct a sym
plectomorphism from the cotangent of the moduli spaces of pairs (bundle\,
subbundle) to certain symmetric product of the cotangent of the base curv
e\, and explain how this can be considered as a classical limit of the ge
ometric Langlands correspondence.\n\nhttps://indico.hiskp.uni-bonn.de/even
t/597/
URL:https://indico.hiskp.uni-bonn.de/event/597/
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