BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Igor Uljarević (University of Belgrade) DTSTART:20220105T121000Z DTEND:20220105T133000Z DTSTAMP:20260423T005729Z UID:GDS/47 DESCRIPTION:Title: Con tact non-squeezing via selective symplectic homology\nby Igor Uljarevi ć (University of Belgrade) as part of Geometry and Dynamics seminar\n\n\n Abstract\nIn this talk\, I will introduce a new version of symplectic homo logy\, \ncalled "selective symplectic homology"\, that is associated to a\ nLiouville domain and an open subset of its boundary. The selective\nsympl ectic homology is obtained as the direct limit of Floer homology\ngroups f or Hamiltonians whose slopes tend to infinity on the open subset\nbut rema in close to 0 and positive on the rest of the boundary.\n\nI will show how selective symplectic homology can be used to prove\ncontact non-squeezing phenomena. One such phenomenon concerns homotopy\nspheres that can be fil led by a Weinstein domain with infinite\ndimensional symplectic homology: there exists a (smoothly) embedded closed\nball in such a sphere that cann ot be contactly squeezed into every\nnon-empty open subset. As a consequen ce\, there exists a contact structure\non the standard smooth sphere (in c ertain dimensions) that is homotopic to\nthe standard contact structure bu t which exhibits\nnon-trivial contact non-squeezing.\n LOCATION:https://researchseminars.org/talk/GDS/47/ END:VEVENT END:VCALENDAR