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SUMMARY:Jonas Hirsch (University of Leipzig)
DTSTART:20201006T170000Z
DTEND:20201006T180000Z
DTSTAMP:20260423T035019Z
UID:OSGA/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/36/">On
  the regularity of area minimzing currents mod(p)</a>\nby Jonas Hirsch (Un
 iversity of Leipzig) as part of Online Seminar "Geometric Analysis"\n\n\nA
 bstract\njoint work with C. De Lellis\, A Marches and S. Stuvard\n\nIn thi
 s talk I would like to give a glimpse on the regularity of area minimzing 
 currents mod(p).\n\n<b>Motivation:</b> If one considers real soap films on
 e notice that from time to time one can find configurations where differen
 t soap films join on a common piece. One possibility to allow this kind of
  phenomenon is to consider flat chains with coefficients in $\\mathbb Z_p$
 . For instance for $p = 2$ one can deal with unoriented surfaces\, for $p 
 = 3$ one allows triple junctions.\n\nConsidering area minimzing currents w
 ithin this class the aim is to give a bound on the Hausdorff dimension of 
 the singular set sing(T) in the interior. These are alle points where the 
 precise representative of the minimiser T is not even locally supported on
  a piece of a $C^{1\,\\alpha}$ regular surface.<br>\nAfter a short introdu
 ction into general theory of currents mod(p)\, I will give you glimpse on 
 the previously known results and on our new bound on the Hausdorff dimensi
 on of the set. If time permits I will give a short outlook of what we woul
 d be the expected result.\n
LOCATION:https://researchseminars.org/talk/OSGA/36/
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