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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
Tags/Keywords
  • Plateau problem

  • nonpositive curvature

  • group homology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

The Spherical Plateau Problem

Abstract

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.

Supplements
92883?type=thumb The Spherical Plateau Problem 232 KB application/pdf Download
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The Spherical Plateau Problem

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