BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Thibaut Delcroix (University of Montpellier) DTSTART:20220615T160000Z DTEND:20220615T170000Z DTSTAMP:20260423T052839Z UID:VSGS/54 DESCRIPTION:Title: Ya u-Tian-Donaldson conjecture for cohomogeneity one manifolds\nby Thibau t Delcroix (University of Montpellier) as part of Virtual seminar on geome try with symmetries\n\n\nAbstract\nThe Yau-Tian-Donaldson conjecture conce rns the equivalence between existence of Kähler metrics with constant sca lar curvature on a polarized complex manifold\, and an algebro-geometric K -stability condition. It has been solved in the case of anticanonically po larized manifolds by Chen-Donaldson-Sun\, and in the case of toric surface s by Donaldson. In both cases\, a condition weaker than the expected K-sta bility suffices\, and in the toric case\, Donaldson translates the K-stabi lity into a convex polytope geometry problem.\nIn this talk\, I will prese nt progress on the Yau-Tian-Donaldson conjecture for spherical varieties\, and in particular\, a resolution of this conjecture in the case of polari zed manifolds of cohomogeneity one.\n LOCATION:https://researchseminars.org/talk/VSGS/54/ END:VEVENT END:VCALENDAR