BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Paul Schwahn (University of Stuttgart) DTSTART:20230531T160000Z DTEND:20230531T170000Z DTSTAMP:20260423T052836Z UID:VSGS/74 DESCRIPTION:Title: Th e Lichnerowicz Laplacian on normal homogeneous spaces\nby Paul Schwahn (University of Stuttgart) as part of Virtual seminar on geometry with sym metries\n\n\nAbstract\nThe Lichnerowicz Laplacian $\\Delta_L$ is an intere sting differential operator on Riemannian manifolds\, generalizing the Hod ge-de Rham Laplacian on differential forms to tensors of arbitrary type. I t features prominently in the study of the linear stability of Einstein me trics.\n\nNormal homogeneous spaces are a natural setting in which Casimir operators occur. In the 80s\, Koiso studied the stability of symmetric sp aces of compact type\, utilizing the coincidence of $\\Delta_L$ with a Cas imir operator. Motivated by his and also the $G$-stability results of Laur et-Lauret-Will\, we generalize Koiso's strategy to general normal homogene ous spaces.\n\nUltimately this approach is sufficient to provide many new non-symmetric examples of stable Einstein manifolds of positive scalar cur vature.\n LOCATION:https://researchseminars.org/talk/VSGS/74/ END:VEVENT END:VCALENDAR