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DTSTART;TZID=Europe/Zurich:20211207T151500Z
DTEND;TZID=Europe/Zurich:20211207T151500Z
UID:10172@agenda.unifr.ch
DESCRIPTION:Einstein metrics are motivated by Einsteins field equations of\ngeneral relativity. Because of their many intriguing properties\nthey are also an important research topic in Riemannian\ngeometry.\n\nEinstein metrics can be characterised as critical points of the\ntotal scalar curvature functional. They are always\nsaddle points. However, there are Einstein metrics which are\nlocal maxima of the functional restricted to metrics of fixed\nvolume and constant scalar curvature. These are by definition stable.\nStability can also be described by a spectral condition for a\nLaplace type operator on symmetric 2-tensors. Moreover, stability\nis related to Perelman's $\nu$ entropy and dynamical stability with\nrespect to the Ricci flow.\n\nIn my talk I will give an introduction to Einstein metrics and\ndiscuss the stability condition in some detail. I also plan to\npresent a few recent results on the stability of symmetric spaces\nand an interesting relation between instability and harmonic forms.\nThese results were obtained in joint work with G. Weingart resp.\nwith M. Wang and Ch. Wang.
SUMMARY:Stability of Einstein metrics
CATEGORIES:Colloque / Congrès / Forum\, Conférence
LOCATION:PER 08\, 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/10172
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