Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th,math.AG,math.SG
Date Thursday 17 November 2022
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Auroux
Speaker's First Name Denis
Speaker's Email Address
Speaker's Institution
Title Fukaya categories of Landau-Ginzburg models and functoriality in homological mirror symmetry
Abstract The main protagonist of this talk is the Fukaya category of a (type A) "Landau-Ginzburg model", i.e., a symplectic fibration over the complex plane. We will outline one definition of this category, and describe a pair of natural functors relating it to the Fukaya category of the fiber. These functors are of particular interest in homological mirror symmetry, where they correspond to inclusion and restriction functors between derived categories of coherent sheaves on a variety and a hypersurface inside it. This leads in particular to a proof of homological mirror symmetry for general hypersurfaces in toric varieties. The talk will be mostly expository; the non-expository parts are joint work with Mohammed Abouzaid on one hand, and the thesis work of Maxim Jeffs on the other hand.
arXiv Preprint Number

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