BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yan Soibelman (Kansas State University) DTSTART:20201016T153000Z DTEND:20201016T170000Z DTSTAMP:20260423T022935Z UID:UBC-AG/4 DESCRIPTION:Title: E xponential integrals\, Holomorphic Floer theory and resurgence\nby Yan Soibelman (Kansas State University) as part of UBC Vancouver Algebraic Ge ometry Seminar\n\n\nAbstract\nHolomorphic Floer theory is a joint project with Maxim Kontsevich\, which is devoted to various aspects of the Floer t heory in the framework of complex symplectic manifolds.\n\nIn my talk I wi ll consider an important special case of the general story. Exponential i ntegrals in finite and infinite dimension can be thought of generalization of the theory of periods (i.e variations of Hodge structure). In particu lar\, there are comparison isomorphisms between Betti and de Rham cohomolo gy in the exponential setting. These isomorphisms are corollaries of categ orical equivalences which are incarnations of our generalized Riemann-Hilb ert correspondence for complex symplectic manifolds.\n\nFurthermore\, foma l series which appear e.g. in the stationary phase method or Feynman expan sions (in infinite dimensions) are Borel re-summable (resurgent). If time permits I will explain the underlying mathematical structure which we call analytic wall-crossing structure. From the perspective of Holomorphic Flo er theory it is related to the estimates for the number of pseudo-holomorp hic discs with boundaries on two given complex Lagrangian submanifolds.\n LOCATION:https://researchseminars.org/talk/UBC-AG/4/ END:VEVENT END:VCALENDAR