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SUMMARY:Paul Creutz (University of Cologne)
DTSTART:20210202T180000Z
DTEND:20210202T190000Z
DTSTAMP:20260423T021017Z
UID:OSGA/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/46/">Ar
 ea minimizing surfaces for singular boundary values</a>\nby Paul Creutz (U
 niversity of Cologne) as part of Online Seminar "Geometric Analysis"\n\n\n
 Abstract\nFix a nonnegative integer g and a finite configuration of disjoi
 nt Jordan curves in Euclidean space. Then\, by a classical result of Dougl
 as\, there is an area minimizer among all surfaces of genus at most g whic
 h span the given curve configuration. In the talk I will discuss a general
 ization of this theorem to singular configurations of possibly non-disjoin
 t or self-intersecting curves. The proof relies on an existence result for
  minimal surfaces in singular metric spaces and does not seem amenable wit
 hin classical smooth techniques.\n\nThis is joint work with M. Fitzi.\n
LOCATION:https://researchseminars.org/talk/OSGA/46/
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