Uniqueness of spherical Plateau solutions for hyperbolic manifolds (Special Talk)
Uniqueness of spherical Plateau solutions for hyperbolic manifolds (Special Talk)
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Antoine Song, California Institute of Technology
Fine Hall 601
*Special DGGA Seminar Talk*
*Please note the date and time*
I will discuss an invariant, the spherical volume of Besson-Courtois-Gallot, and a corresponding Plateau problem. For hyperbolic manifolds, the spherical volume was computed by Besson-Courtois-Gallot to be a multiple of the hyperbolic volume. Their arguments will be explained. We will also see that there is a unique Plateau solution given by the hyperbolic metric, up to intrinsic isometry.