BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Thomas Kecker (University of Portsmouth) DTSTART:20240423T130000Z DTEND:20240423T140000Z DTSTAMP:20260422T201845Z UID:CAvid/118 DESCRIPTION:Title: Geometric approach for quasi-Painlevé Hamiltonian systems\nby Thomas Kecker (University of Portsmouth) as part of CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\n\nAbstract\nWe present some new Hamilton ian systems of quasi-Painlevé type and their Okamoto's spaces of initial conditions. The geometric approach was introduced originally for the ident ification problem of Painlevé equations\, comparing the irreducible compo nents of the inaccessible divisors introduced in the blow-ups to obtain th e space of initial conditions. Using this method\, we find bi-rational coo rdinate changes between some of the systems we introduce\, giving rise to a global symplectic structure for these systems. This scheme thus allows u s to identify (quasi-)Painlevé Hamiltonian systems up to bi-rational symp lectic maps\, performed here for systems with solutions having movable sin gularities that are either square-root type algebraic poles or ordinary po les.\n LOCATION:https://researchseminars.org/talk/CAvid/118/ END:VEVENT END:VCALENDAR