BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Valeria Gutiérrez (Universidad Nacional de Córdoba) DTSTART:20240925T120000Z DTEND:20240925T130000Z DTSTAMP:20260423T052931Z UID:VSGS/98 DESCRIPTION:Title: St ability of (generalized) Einstein Metrics on aligned Homogeneous Spaces.\nby Valeria Gutiérrez (Universidad Nacional de Córdoba) as part of Vi rtual seminar on geometry with symmetries\n\n\nAbstract\nGiven two standar d Einstein homogeneous spaces $G_i/K$\, where each $G_i$ is a compact simp le Lie group and $K$ is a closed subgroup of them satisfying certain addit ional conditions\, we consider $M = G_1\\times G_2/\\Delta K$. Recently\, Lauret and Will proved the existence of a generalized Einstein metric on a ny of these spaces. When $G_1=G_2=H$ they also studied the existence and c lassification of $H \\times H$-invariant Einstein metrics on $M= H\\times H/\\Delta K$.\n\nIn this talk we will discuss the definition and propertie s of aligned homogeneous spaces with two factors\, review the results obta ined by Lauret and Will and establish the dynamical stability of generaliz ed Einstein metrics as fixed points of the generalized Ricci flow on $M$. Additionally\, we will explore the stability relative to the Hilbert acti on of non-diagonal Einstein metrics on $M=H\\times H/\\Delta K$ when $H/K$ is an irreducible symmetric space.\n LOCATION:https://researchseminars.org/talk/VSGS/98/ END:VEVENT END:VCALENDAR