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M-Seminar: A note on homological mirror symmetry over Novikov ring

Speaker: Kenji Fukaya  (Simons Center for Geometry and Physics)

Abstract: Homological Mirror symmetry is a symmetry between symplectic and complex geometries. In the symplectic side, Lagrangian Floer homology is the main object of the study. In most of the results on homological mirror symmetry in the literature, Lagrangian Floer homology is considered over the coefficient ring which is either a ground ring (such as Z, Q, C) or  a Novikov field, where the formal parameter is inverted. Lagrangian Floer homology over Novikov ring is known to contain much more informations than one over Novikov field. In this talk, I will explain certain ideas and preliminary results to study homological  Mirror symmetry over Novikov ring. I will explain how the notion of Gromov-Hausdorff convergence of A infinity category is used for this purpose.

Dial-In Information

Zoom link

Meeting ID: 958 3425 4862

Thursday, December 9, 2021 at 3:30pm

Event Type

Lecture, Colloquia, Seminar

Website

https://www.math.ksu.edu/research/m-c...

Department
Mathematics, Department of
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