Colloquium| Institute of Mathematical Sciences
Time：15:00-16:00, December 11 Wednesday
Location：Room 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.