BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ben Wormleighton (Washington University in St. Louis) DTSTART:20201028T180000Z DTEND:20201028T190000Z DTSTAMP:20260423T024747Z UID:AG-Davis/12 DESCRIPTION:Title: Symplectic embeddings via algebraic positivity\nby Ben Wormleighton (Washington University in St. Louis) as part of UC Davis algebraic geometr y seminar\n\n\nAbstract\nA fundamental and remarkably subtle question in s ymplectic geometry is “when does one symplectic manifold embed in anothe r?”. There are two paths to approaching such problems: constructing embe ddings\, and obstructing embeddings\; I will focus on the latter. Connecti ons with algebraic geometry emerged from work of Biran and McDuff-Polterov ich relating embeddings of disjoint unions of balls (i.e. ball packing pro blems) and the algebraic geometry of blowups of \nP^2\, and this talk will describe work over the last few years continuing in the vein of employing algebraic techniques to study symplectic embedding problems. We describe a sequence of invariants of a polarised algebraic surface that obstruct sy mplectic embeddings\, in many interesting cases sharply. Using this perspe ctive we prove a combinatorial bound on the Gromov width of toric surfaces conjectured by Averkov-Nill-Hofscheier\, and discuss related phenomena in algebraic positivity inspired by these symplectic findings.\n LOCATION:https://researchseminars.org/talk/AG-Davis/12/ END:VEVENT END:VCALENDAR