BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Diego Corro (Karlsruher Institut für Technologie) DTSTART:20220921T090000Z DTEND:20220921T100000Z DTSTAMP:20260423T053134Z UID:VSGS/51 DESCRIPTION:Title: Sy mmetry preserving solutions to the Yamabe Problem\nby Diego Corro (Kar lsruher Institut für Technologie) as part of Virtual seminar on geometry with symmetries\n\n\nAbstract\nThe Yamabe problem ask whether we can find for a given smoooth Riemannian manifold a representative with constant sca lar curvature in the conformal class of the given Riemannian metric. In th is talk we consider such a problem under the extra constrain of preserving symmetry. Namely I present that\, under mild geometry conditions\, we can find solutions to the Yamabe problem which will also respect the symmetry structure given by a singular Riemannian foliation. Singular Riemannian foliations are generalizations of group actions by isometries and fiber bu ndles.\n\nIn other words given a smooth Riemannian manifold with a smooth Riemannian foliation\, we can find a conformal representative of the metri c\, such that it has prescribed scalar curvature and the partition of the manifold by the leafs\, is again a singular Rieamnnian foliation.\n LOCATION:https://researchseminars.org/talk/VSGS/51/ END:VEVENT END:VCALENDAR