BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre-Alexandre Mailhot (University of Montreal) DTSTART:20221102T151000Z DTEND:20221102T163000Z DTSTAMP:20260423T004913Z UID:GDS/64 DESCRIPTION:Title: Spe ctral diameter\, Liouville domains and symplectic cohomology\nby Pierr e-Alexandre Mailhot (University of Montreal) as part of Geometry and Dynam ics seminar\n\n\nAbstract\nThe spectral norm provides a lower bound to the Hofer norm. It is thus \nnatural to ask whether the diameter of the spect ral norm is finite or not. \nIn the case of closed symplectic manifolds\, there is no unified answer. \nFor instance\, for a certain class of symple cticaly aspherical manifolds\, \nwhich contains surfaces\, the spectral di ameter is infinite. However\, for \nCP^n\, the spectral diameter is known to be finite. During this talk\, I will \nprove that\, in the case of Liou ville domains\, the spectral diameter is \nfinite if and only if the sympl ectic cohomology of the underlying manifold \nvanishes. With that relation ship in hand\, we will explore applications to \nsymplecticaly aspherical symplectic manifolds and give a new proof that the \nspectral diameter is infinite on cotangent disk bundles.\n LOCATION:https://researchseminars.org/talk/GDS/64/ END:VEVENT END:VCALENDAR