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SUMMARY:Yan Soibelman (Kansas State University)
DTSTART:20200416T203000Z
DTEND:20200416T213000Z
DTSTAMP:20260423T024759Z
UID:M-seminar/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/M-seminar/1/
 ">Holomorphic Floer theory and deformation quantization</a>\nby Yan Soibel
 man (Kansas State University) as part of M-seminar\n\n\nAbstract\nIn his 2
 1st problem Hilbert asked about reconstruction of Fuchsian differential eq
 uation from its monodromy. This Riemann-Hilbert problem has a long history
  of solutions and counterexamples. During last decades it was generalized 
 in two different directions. Most well-known is the generalization to high
 er dimensions and D-modules\, with possibly irregular singularities. The m
 onodromy data are replaced by constructble sheaves. Another\, less known\,
   generalization deals with not necessarily differential equations\, e.g. 
 with difference of q-difference ones.\n\nIn 2014 together with Maxim Konts
 evich we started a project on what we called Holomorphic Floer theory. The
  word "holomorphic" refers to the fact that  we consider Floer theory (e.g
 . Fukaya categories) for comlex symplectic manifolds. Aim of my talk is to
  explain some parts of the project which lead to a  general formulation of
  the Riemann-Hilbert correspondence as a relation between Floer theory and
  deformation quantization.\n
LOCATION:https://researchseminars.org/talk/M-seminar/1/
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