CRM: Centro De Giorgi
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Recent advances in Geometric Analysis

A Plateau problem at infinity for minimal annuli in H2xR

speaker: Magdalena Rodriguez (Universidad Granada, Spain)

abstract: Nelli and Rosenberg proved that, given a Jordan curve C contained at the boundary of H2xR at infinity, projecting one to one over the boundary of H2, then there is a minimal disk whose asymptitic boundary is C (and it is a vertical graph). We consider the problem of prescribing two such Jordan curves at infinity and look for a minimal annulus whose asymptotic boundary consists of the union of these two curves. In this talk we will discuss some existence and non-existence results for that problem. This is a joint work with Leonor Ferrer, Francisco Martı́n and Rafe Mazzeo.


timetable:
Thu 7 Jun, 14:30 - 15:30, Aula Dini
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