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SUMMARY:Tim Laux (University of Bonn)
DTSTART:20220621T160000Z
DTEND:20220621T170000Z
DTSTAMP:20260423T021102Z
UID:OSGA/114
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/114/">L
 ocal minimizers of the area functional based on a concept of local paired 
 calibrations</a>\nby Tim Laux (University of Bonn) as part of Online Semin
 ar "Geometric Analysis"\n\n\nAbstract\nCalibrations are an elegant tool to
  prove that a given surface (or surface cluster) minimizes the area functi
 onal. In this talk\, I will present a way to extend the notion of (paired)
  calibrations to the setting when one can only hope for local minimality. 
 Based on this notion\, one can show that any partition of the plane\, whos
 e network of interfaces consists of finitely many straight segments with a
  singular set made up of finitely many triple junctions at which the Herri
 ng angle condition is satisfied\, is a local minimizer of the interface en
 ergy with respect to $L^1$ perturbations of the phases. This result not on
 ly holds for the case of the area functional but for a general class of su
 rface tension matrices.\n\nThis is based on joint work with Julian Fischer
 \, Sebastian Hensel\, and Theresa Simon.\n
LOCATION:https://researchseminars.org/talk/OSGA/114/
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