On the (non-)uniqueness of minimal surfaces in hyperbolic three-space
Data: 31 OTTOBRE 2023 dalle 11:15 alle 13:00
Luogo: aula Vitali, ore 11:15
Abstract: 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.