BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hanwool Bae (Seoul National University\, South Korea) DTSTART:20221103T120000Z DTEND:20221103T130000Z DTSTAMP:20260423T005756Z UID:LAGOON/82 DESCRIPTION:Title: Cluster categories from Fukaya categories\nby Hanwool Bae (Seoul Natio nal University\, South Korea) as part of Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nThe wrapped Fukaya category o f the plumbing X of the cotangent bundles of spheres along a tree T is sho wn to be quasi-equivalent to the dg category of dg modules over the Ginzbu rg dg algebra associated to a quiver Q whose underlying graph is T. In th is talk\, I will first discuss that the quotient of the wrapped Fukaya cat egory W of X by its compact Fukaya category F is equivalent to the Amiot –Guo–Keller cluster category associated to Q\, and a certain generator L of W becomes a cluster-tilting object of W/F. Then using the minimal mo del of the Ginzburg dg algebra computed by Hermes\, in the case the tree T is given by a Dynkin diagram of type A\,D or E\, I will explain how to sh ow that the endomorphism algebra of L in the quotient category W/F is isom orphic to the path algebra of a certain quiver with relations. This talk i s based on a joint work with Wonbo Jeong and Jongmyeong Kim.\n LOCATION:https://researchseminars.org/talk/LAGOON/82/ END:VEVENT END:VCALENDAR