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SUMMARY:Florian Litzinger (Queen Mary College)
DTSTART:20210209T180000Z
DTEND:20210209T190000Z
DTSTAMP:20260423T035032Z
UID:OSGA/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/47/">Op
 timal regularity for Pfaffian systems and the fundamental theorem of surfa
 ce theory</a>\nby Florian Litzinger (Queen Mary College) as part of Online
  Seminar "Geometric Analysis"\n\n\nAbstract\nThe fundamental theorem of su
 rface theory asserts the existence of a surface immersion with prescribed 
 first and second fundamental forms that satisfy the Gauss–Codazzi–Main
 ardi equations. Its proof is based on the solution of a Pfaffian system an
 d an application of the Poincaré lemma. Consequently\, the regularity of 
 the resulting immersion crucially depends on the regularity of the solutio
 n of the corresponding Pfaffian system. This talk shall briefly review bot
 h the classical smooth case and the regularity theory and then introduce a
 n extension to the optimal regularity.\n
LOCATION:https://researchseminars.org/talk/OSGA/47/
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