BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Huijun Fan (School of Mathematical Sciences\, Peking University) DTSTART:20230324T090000Z DTEND:20230324T103000Z DTSTAMP:20260423T024759Z UID:BIMSA-ISS/8 DESCRIPTION:Title: On the Geometry of Landau-Ginzburg Model\nby Huijun Fan (School of M athematical Sciences\, Peking University) as part of BIMSA Integrable Syst ems Seminar\n\n\nAbstract\nAn LG model (M\, f) is given by a noncompact co mplex manifold M and the\nholomorphic function f defined on it\, which is an important model in string theory.\nBecause of the mirror symmetry conje cture\, the research on the geometric structure and\nquantization theory o f LG model has attracted more and more attention. Given a Calabi-\nYau (CY ) manifold\, we can define Gromov-Witten theory (A theory) on it\, and als o study\nthe variation of Hodge structure on its mirror manifold (B theory ). Accordingly\, LG model\nincludes A theory - FJRW theory and Hodge struc ture variational theory.\nThis report starts with some examples\, gives th e geometric and topological\ninformation contained by a LG model\, and der ives the relevant Witten equation\n(nonlinear) and Schrodinger equation (l inear). The study of the solution space of these\ntwo sets of equations wi ll lead to different quantization theories. Secondly\, we give our\nrecent correspondence theorem of Hodge structures between LG model and CY\nmanif old. Finally\, we will discuss some relevant issues.\n\nBio: Huijun Fan is the director of the Key Laboratory of Mathematics and Applied\nMathematic s of the Ministry of Education of Peking University and the deputy directo r of\nthe Sino-Russian Math Center. He has won national outstanding youth grant\, Changjiang\nDistinguished Professor of the Ministry of Education\, and the second prize of the National\nNatural Science Award. He is the pl enary speaker of the 2021 annual meeting of the\nChinese Mathematical Soci ety.\n LOCATION:https://researchseminars.org/talk/BIMSA-ISS/8/ END:VEVENT END:VCALENDAR