(Geometric Flows and Geometric Operators) Geometric Flows in Mathematics and Theoretical Physics
timetable:
Mon 22 Jun, 9:45 - 10:40, Aula Dini
documents:
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Gravitational instantons and geometric flows
speaker: Marios Petropoulos (École Polytechnique, CPHT, Paris)abstract: I will analyse four-dimensional self-dual gravitational instantons with potentially non-vanishing cosmological constant, which exhibit a natural foliation into three-dimensional homogeneous subspaces evolving in Euclidean time. I will show that their dynamics coincide precisely with a geometric flow on the corresponding family of three-dimensional homogeneous spaces, driven by the Ricci tensor plus an SU(2) gauge connection inherited from O(4). This phenomenon is exhibited for all Bianchi classes and captures all known examples such as Taub-NUT, Eguchi-Hanson or Fubini-Study solutions. I will also make contact with the recently proposed non-Lorentz-invariant theories of gravity.
timetable:
Mon 22 Jun, 9:45 - 10:40, Aula Dini
documents:
Petropoulos
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