BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kenji Fukaya DTSTART:20201208T150000Z DTEND:20201208T160000Z DTSTAMP:20260423T052834Z UID:Freemath/26 DESCRIPTION:Title: Atiyah-Floer type conjecture and Virtual fundamental chain\nby Kenji Fukaya as part of Free Mathematics Seminar\n\n\nAbstract\nThis is a repor t on my work in progress with Aliakbar Daemi\n\nWe are studying an SO(3) v ersion of Atiyah-Floer conjecture relating Instanton Floer homology to Lag rangian Floer homology\, via cobordism method. In the case when the moduli space of flat connections on 3 manifold is an {\\it embedded} Lagrangian submanifold of the space of flat connections on 2 manifold\, we can pertur b Lipyanskiy type mixed moduli space using geometric perturbation. In the case it is an immersed Lagrangian submanifold\, we need abstract perturbat ion and virtual technique. The singularity of the instanton moduli space i s wilder than the case of pseudo-holomorphic curve and we need certain `st ratified' version of Kuranishi structure. I will explain how we can define such a notion\, show the existence of such structure and use it to obtain virtual fundamental chain.\n LOCATION:https://researchseminars.org/talk/Freemath/26/ END:VEVENT END:VCALENDAR