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SUMMARY:Paul Schwahn
DTSTART:20220505T123000Z
DTEND:20220505T133000Z
DTSTAMP:20260423T004657Z
UID:GeoSem/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeoSem/41/">
 Stability and rigidity of normal homogeneous Einstein manifolds</a>\nby Pa
 ul Schwahn as part of Geometry Seminar - University of Florence\n\n\nAbstr
 act\nThe stability of an Einstein metric is decided by the (non-)existence
  of small eigenvalues of the Lichnerowicz Laplacian on tt-tensors. In the 
 homogeneous setting\, harmonic analysis allows us to approach the computat
 ion of these eigenvalues. This easy on symmetric spaces\, but considerably
  more difficult in the non-symmetric case. I review the case of irreducibl
 e symmetric spaces of compact type\, prove the existence of a non-symmetri
 c stable Einstein metric of positive scalar curvature\, and give an outloo
 k on how to investigate the normal homogeneous case. Furthermore\, I explo
 re the rigidity and infinitesimal deformability of homogeneous Einstein me
 trics.\n
LOCATION:https://researchseminars.org/talk/GeoSem/41/
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