BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nate Bottman (Max Planck) DTSTART:20210503T010000Z DTEND:20210503T020000Z DTSTAMP:20260423T005735Z UID:IBSCGP/10 DESCRIPTION:Title: The symplectic (A-infinity\,2)-category and a simplicial version of the 2D Fulton-MacPherson operad\nby Nate Bottman (Max Planck) as part of IBS -CGP weekly zoom seminar\n\n\nAbstract\nThe symplectic (A-infinity\,2)-cat egory Symp\, which is currently under construction by myself and my collab orators\, is a 2-category-like structure whose objects are symplectic mani folds and where hom(M\,N) := Fuk(M^- x N). Symp is a coherent algebraic st ructure which encodes the functoriality properties of the Fukaya category. This talk will begin with the following question: what can say about the part of Symp that knows only about a single symplectic manifold M\, and th e diagonal Lagrangian correspondence from M to itself? We expect that the answer to this question should be a chain-level algebraic structure on sym plectic cohomology\, and in this talk I will present progress toward confi rming this. Specifically\, I will present a "simplicial version" of the 2- dimensional Fulton-MacPherson operad. If there is time\, I will discuss wo rk-in-progress with Felix Janda and Paolo Salvatore that aims to complete this answer.\n LOCATION:https://researchseminars.org/talk/IBSCGP/10/ END:VEVENT END:VCALENDAR