BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Joé Brendel (University of Neuchâtel) DTSTART:20220302T121000Z DTEND:20220302T133000Z DTSTAMP:20260423T004914Z UID:GDS/48 DESCRIPTION:Title: Squ eezing the symplectic ball (up to a subset)\nby Joé Brendel (Universi ty of Neuchâtel) as part of Geometry and Dynamics seminar\n\n\nAbstract\n In a recent preprint\, Sackel-Song-Varolgunes-Zhu investigate quantitative \nquestions surrounding Gromov's non-squeezing theorem. In particular\, t hey \nshow that if one can embed the four-ball into a cylinder of smaller capacity \nafter the removal of a subset\, then this subset has Minkowski dimension at \nleast two. Furthermore\, they give an explicit example of s uch a "squeezing \nup to a subset" where the subset they remove has dimens ion two and allows \nsqueezing by a factor of two (in terms of capacities) . In this talk\, we will \ndiscuss certain squeezings by a factor of up to three. The construction is \ninspired by degenerations of the complex pro jective plane and almost toric \nfibrations. If time permits\, we will giv e a construction by hand and discuss \nhow this leads to a different viewp oint on almost toric fibrations and \npotential squeezings in higher dimen sions. This is partially based on work \nthat will appear as an appendix o f the SSVZ paper.\n LOCATION:https://researchseminars.org/talk/GDS/48/ END:VEVENT END:VCALENDAR