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SUMMARY:Paul Creutz (University of Cologne)
DTSTART;VALUE=DATE-TIME:20211203T160000Z
DTEND;VALUE=DATE-TIME:20211203T170000Z
DTSTAMP;VALUE=DATE-TIME:20241016T074017Z
UID:mmsANDconv/20
DESCRIPTION:Title: Area minimizing surfaces for singular boundary values\nby Paul Cre
utz (University of Cologne) as part of mms&convergence\n\n\nAbstract\nFix
a nonnegative integer g and a finite configuration of \ndisjoint Jordan c
urves in Euclidean space. Then\, by a classical result \nof Douglas\, the
re is an area minimizer among all surfaces of genus at \nmost g which spa
n the given curve configuration. In the talk I will \ndiscuss a generaliz
ation of this theorem to singular configurations of \npossibly non-disjoi
nt or self-intersecting curves. The proof relies on \nan existence result
for minimal surfaces in singular metric spaces and \ndoes not seem amena
ble by classical smooth techniques. This is joint \nwork with M. Fitzi.\n
LOCATION:https://researchseminars.org/talk/mmsANDconv/20/
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