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The Spherical Plateau Problem

[Virtual] Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow March 21, 2022 - March 24, 2022

March 23, 2022 (08:00 AM PDT - 08:45 AM PDT)
Speaker(s): Antoine Song (University of California, Berkeley)
Location: MSRI: Online/Virtual
  • Plateau problem

  • nonpositive curvature

  • group homology

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Secondary Mathematics Subject Classification

The Spherical Plateau Problem


For any closed oriented manifold with fundamental group G, or more generally any group homology class for a group G, I will discuss an infinite codimension Plateau problem in a Hilbert classifying space for G. For instance, for a closed oriented 3-manifold M, the intrinsic geometry of any Plateau solution is given by the hyperbolic part of M.

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The Spherical Plateau Problem

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