数学科学研究所
Insitute of Mathematical Science

Colloquium:Fukaya Category of Landau-Ginzburg Model

Colloquium| Institute of Mathematical Sciences

Time15:00-16:00, December 11  Wednesday

LocationRoom S408, IMS

 

Speaker:  Huijun Fan from Peking University

Abstract:  Recently we gives the mathematical foundation of the open string Floer theory of Landau-Ginzburg model via Witten equation. We introduce the concept of regular tame exact Landau-Ginzburg  system on a noncompact Kaehler manifold, and define the notion of Landau-Ginzburg branes, as the objects of the Fukaya category. The study on Witten equation in our context provides the construction of the Fukaya category of Landau-Ginzburg model which was  conjectured to be existed in Gaiotto-Moore-Witten’s paper and Kapranov-Kontsevich-Soibelman’s paper on the infrared algebraic structure. The key point in the construction is a C0-C1 joint compactness estimate.  This  is the joint work with Wenfeng Jiang and Dingyu Yang.


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