BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Leonardo Macarini (IMPA) DTSTART:20250909T140000Z DTEND:20250909T150000Z DTSTAMP:20260423T022745Z UID:Geolis/167 DESCRIPTION:Title: Existence and localization of closed magnetic geodesics with low energy\nby Leonardo Macarini (IMPA) as part of Geometria em Lisboa (IST)\n\n\n Abstract\nMagnetic flows are generalizations of geodesic flows that descri be the motion of a charged particle in a magnetic field. While every close d Riemannian manifold admits at least one closed geodesic\, the analogous problem for magnetic orbits (also known as magnetic geodesics) is signific antly more challenging and has received considerable attention in recent d ecades. I will present a result establishing that every low energy level o f any magnetic flow admits at least one contractible closed orbit\, assumi ng only that the magnetic strength is not identically zero\, has a compact strict local maximum K\, and that the cohomology class of the magnetic fi eld is spherically rational. Moreover\, this magnetic geodesic can be loca lized within an arbitrarily small neighborhood of K. This is joint work wi th Valerio Assenza and Gabriele Benedetti.\n LOCATION:https://researchseminars.org/talk/Geolis/167/ END:VEVENT END:VCALENDAR