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SUMMARY:Yan Zhou (Northeastern)
DTSTART:20221103T185000Z
DTEND:20221103T195000Z
DTSTAMP:20260423T022920Z
UID:GPRTatNU/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/65/
 ">Irregular opers\, Stokes geometry and WKB analysis</a>\nby Yan Zhou (Nor
 theastern) as part of Geometry\, Physics\, and Representation Theory Semin
 ar\n\n\nAbstract\nWe study\, using the extended isomonodromy deformation\,
  the WKB approximation of Stokes matrices of a class of meromorphic linear
  ODE systems of Poincare rank 1 on the projective line that appear in vari
 ous contexts of geometry. We show that\, via the degenerate Riemann-Hilber
 t map\, the WKB approximation of Stokes matrices recovers the Gelfand-Tset
 lin integrable systems whose action variables match with period on spectra
 l curves. If time permits\, we will also briefly discuss the potential ram
 ifications to cluster theory\, spectral networks  and gl(n)-crystals (in t
 he quantum setting). The talk is based on joint work with Anton Alekseev a
 nd Xiaomeng Xu and ongoing discussions with Andrew Neitzke.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/65/
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