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SUMMARY:Tatsuki Kuwagaki (Osaka University)
DTSTART:20210115T000000Z
DTEND:20210115T005000Z
DTSTAMP:20260423T005719Z
UID:LCM2021/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/37/"
 >Cluster coordinates from sheaf quantization of spectral curve</a>\nby Tat
 suki Kuwagaki (Osaka University) as part of Legendrians\, Cluster algebras
 \, and Mirror symmetry\n\nLecture held in POSTECH\, Pohang\, Republic of K
 orea.\n\nAbstract\nA sheaf quantization is a sheaf associated to a Lagrang
 ian brane. In this talk\, I will explain my construction of sheaf quantiza
 tion of the spectral curves of Schrodinger equations\, which is a part of 
 conjectural $\\hbar$-Riemann—Hilbert correspondence. The construction is
  based on exact WKB analysis. I will also explain an application to cluste
 r theory. Iwaki—Nakanishi have found cluster variables in exact WKB anal
 ysis. The construction of sheaf quantization gives a geometric explanation
  of Iwaki—Nakanishi’s cluster variables and their variants. A part of 
 this talk is based on my joint work in progress with T. Ishibashi.\n
LOCATION:https://researchseminars.org/talk/LCM2021/37/
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