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SUMMARY:Tatsuki Kuwagaki (IPMU)
DTSTART:20200616T090000Z
DTEND:20200616T100000Z
DTSTAMP:20260423T052710Z
UID:Freemath/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/8/"
 >Symplectic geometry of exact WKB analysis</a>\nby Tatsuki Kuwagaki (IPMU)
  as part of Free Mathematics Seminar\n\n\nAbstract\nA sheaf quantization i
 s a sheaf associated to a Lagrangian brane. This sheaf conjecturally has i
 nformation as much as Floer theory of the Lagrangian. On the other hand\, 
 exact WKB analysis is an analysis of differential equations containing \\h
 bar (the Planck constant).\n\nIn this talk\, I will explain how to constru
 ct a sheaf quantization over the Novikov ring of the spectral curve of an 
 \\hbar-differential equation by using exact WKB method. In the constructio
 n\, one can see how (conjecturally) the convergence in WKB analysis is rel
 ated to the convergence in Fukaya category. In degree 2\, there is an appl
 ication to cluster theory: the sheaf quantization associates a cluster coo
 rdinate which is the same as the Voros-Iwaki-Nakanishi-Fock-Goncharov coor
 dinate. I will also mention about some relationships to Riemann-Hilbert co
 rrespondence of D'Agnolo-Kashiwara and Kontsevich-Soibelman.\n
LOCATION:https://researchseminars.org/talk/Freemath/8/
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