BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michael Entov (Technion) DTSTART:20230118T121000Z DTEND:20230118T133000Z DTSTAMP:20260423T004729Z UID:GDS/76 DESCRIPTION:Title: Kah ler-type embeddings of balls into symplectic manifolds\nby Michael Ent ov (Technion) as part of Geometry and Dynamics seminar\n\n\nAbstract\nA sy mplectic embedding of a disjoint union of balls into a symplectic \nmanifo ld M is called Kahler-type if it is holomorphic with respect \nto some (no t a priori fixed) complex structure on M compatible with \nthe symplectic form. Assume that M either of the following: CP^n (with \nthe standard sym plectic form)\, an even-dimensional torus or a K3 surface \nequipped with an irrational Kahler-type symplectic form. Then: \n\n1. Any two Kahler-typ e embeddings of a disjoint union of balls into M \ncan be mapped into each other by a symplectomorphism acting trivially on \nthe homology. If the e mbeddings are holomorphic with respect to complex \nstructures compatible with the symplectic form and lying in the same \nconnected component of th e space of Kahler-type complex structures on M\, \nthen the symplectomorph ism can be chosen to be smoothly isotopic to the \nidentity. \n\n2. Symple ctic volume is the only obstruction for the existence of \nKahler-type emb eddings of k^n equal balls (for any k) into CP^n and of \nany number of po ssibly different balls into a torus or a K3 surface.\n \nThis is a joint w ork with M.Verbitsky.\n LOCATION:https://researchseminars.org/talk/GDS/76/ END:VEVENT END:VCALENDAR