On the (non-)uniqueness of minimal surfaces in hyperbolic three-space

Andrea Seppi (U Grenoble Alpes)

Oct 16. 2023, 14:00 — 14:50

The Asymptotic Plateau Problem in the hyperbolic space is the problem of existence of minimal surfaces with a prescribed Jordan curve as a boundary “at infinity”. Since the work of Anderson in the 1980s, it is known to have a solution, which is in general not unique. In this talk, I will present an example of a Jordan curve bounding uncountably many minimal discs. I will also present some criteria for uniqueness. This is joint work with Zheng Huang and Ben Lowe.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Geometry beyond Riemann: Curvature and Rigidity (Thematic Programme)
Organizer(s):
Ivan Izmestiev (TU Vienna)
Athanase Papadopoulos (IRMA, Strasbourg)
Marc Troyanov (EPFL, Lausanne)
Sumio Yamada (Gakushuin U, Tokyo)