BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vestislav Apostolov (Université du Québec à Montréal) DTSTART:20230411T150000Z DTEND:20230411T160000Z DTSTAMP:20260423T022630Z UID:Geolis/113 DESCRIPTION:Title: A Calabi type problem in generalized Kahler geometry\nby Vestislav Ap ostolov (Université du Québec à Montréal) as part of Geometria em Lisb oa (IST)\n\n\nAbstract\nThe notion of a generalized Kahler (GK) structure was introduced in the early 2000's by Hitchin and Gualtieri in order to pr ovide a mathematically rigorous framework of certain nonlinear sigma model theories in physics. Since then\, the subject has developed rapidly. It i s now realized\, thanks to more recent works of Hitchin\, Goto\, Gualtieri \, Bischoff and Zabzine\, that GK structures are naturally attached to Kah ler manifolds endowed with a holomorphic Poisson structure. Inspired by Ca labi's program in Kahler geometry\, which aims at finding a "canonical" Ka hler metric in a fixed deRham class\, I will present in this talk an appro ach towards a “generalized Kahler" version of Calabi's problem motivated by an infinite dimensional moment map formalism\, and using the Bismut-Ri cci flow introduced by Streets and Tian as analytical tool. As an applicat ion\, we give an essentially complete resolution of the problem in the cas e of a toric complex Poisson variety. Based on a joint works with J. Stree ts and Y. Ustinovskiy.\n LOCATION:https://researchseminars.org/talk/Geolis/113/ END:VEVENT END:VCALENDAR