BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yuan Gao (USC) DTSTART:20210329T010000Z DTEND:20210329T020000Z DTSTAMP:20260423T024514Z UID:IBSCGP/4 DESCRIPTION:Title: T he Rabinowitz Fukaya category and applications\nby Yuan Gao (USC) as p art of IBS-CGP weekly zoom seminar\n\n\nAbstract\nThe goal of the talk is to introduce the Rabinowitz (wrapped) Fukaya category\, as an open-string analogue of Rabinowitz Floer homology of (the boundary at infinity of) a L iouville manifold\, which is a categorical invariant of exact cylindrical Lagrangians whose cohomology morphisms measure the failure of wrapped Floe r cohomology to satisfy Poincare duality. The main result\, answering a co njecture of Abouzaid\, relates this category to the usual wrapped Fukaya c ategory by a canonical algebraic formula\, in terms of the categorical for mal punctured neighborhood of infinity introduced by Efimov. As an applica tion\, we shall see a few new computations in Floer theory via homological mirror symmetry. In addition\, we are going to explore the open-closed st ring relationship and derive structural and computational results in both Rabinowitz Floer homology and symplectic cohomology. This is based on join t work with Sheel Ganatra and Sara Venkatesh.\n LOCATION:https://researchseminars.org/talk/IBSCGP/4/ END:VEVENT END:VCALENDAR