BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pazit Haim-Kislev (Tel-Aviv University) DTSTART:20240528T150000Z DTEND:20240528T160000Z DTSTAMP:20260423T022626Z UID:Geolis/152 DESCRIPTION:Title: On the existence of symplectic barriers\nby Pazit Haim-Kislev (Tel-Av iv University) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nLagrang ian submanifold rigidity has been a fundamental topic in symplectic topolo gy\, contributing to key theories like the Arnold-Givental conjecture and Lagrangian Floer theory. These theories often show that intersections betw een Lagrangian submanifolds are unavoidable via symplectic maps\, exemplif ied by Biran's concept of Lagrangian Barriers (2001).\nConversely\, subman ifolds not containing Lagrangian submanifolds usually exhibit flexibility\ , and can often be symplectically displaced. In this joint work with Richa rd Hind and Yaron Ostrover\, we introduce what appears to be the first ill ustration of Symplectic Barriers\, demonstrating necessary intersections o f symplectic embeddings with symplectic (non-Lagrangian) submanifolds. The key point is that Lagrangian submanifolds are not the sole barriers\, and there exist situations where a symplectic submanifold is not flexible. \ nIn our work\, we also answer a question by Sackel–Song–Varolgunes–Z hu and calculate the optimal symplectic ball embedding in the ball after r emoving a codimension 2 hyperplane with a prescribed Kähler angle.\n LOCATION:https://researchseminars.org/talk/Geolis/152/ END:VEVENT END:VCALENDAR