The Spherical Plateau Problem in Geometric Analysis

Watch a 52-minute lecture from the General Relativity Workshop where UC Berkeley's Antoine Song explores the spherical Plateau problem. Delve into an analysis of infinite codimension Plateau problems within Hilbert classifying spaces for group G, examining closed oriented manifolds and group homology classes. Learn how the intrinsic geometry of Plateau solutions relates to the hyperbolic components of closed oriented 3-manifolds. This mathematical exploration connects fundamental concepts in differential geometry, topology, and geometric measure theory through the lens of the spherical Plateau problem.