A compactness theorem for Alexandrov surfaces with bounded integral curvature.

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Event details

Date 13.04.2016
Hour 16:3017:30
Speaker Clément Debin
Location
CM010
Category Conferences - Seminars
Until 1970, Alexandrov and his student Reshetnyak have developed a very rich theory of singular surfaces, which includes the smooth riemannian metrics, as well as metrics with conical singularities. We adapt the proof of the classical Cheeger-Gromov compactness theorem to this setting; as a corollary, we obtain a compactification of the space of metrics with conical singularities on a fixed surface.

Practical information

  • Informed public
  • Free

Organizer

  • Louis Merlin

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