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SUMMARY:Peter McGrath (North Carolina State University)
DTSTART:20200901T170000Z
DTEND:20200901T180000Z
DTSTAMP:20260423T035032Z
UID:OSGA/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/26/">Qu
 antitative Isoperimetric Inequalities on Riemannian Surfaces</a>\nby Peter
  McGrath (North Carolina State University) as part of Online Seminar "Geom
 etric Analysis"\n\n\nAbstract\nTalk Abstract:  In this talk\, we introduce
  a scattering asymmetry which measures the asymmetry of a domain by quanti
 fying its incompatibility with an isometric circle action.  We prove a qua
 ntitative isoperimetric inequality involving the scattering asymmetry and 
 characterize the domains with vanishing scattering asymmetry by their rota
 tional symmetry.  We also give a new proof of the sharp Sobolev inequality
  for Riemannian surfaces which is independent of the isoperimetric inequal
 ity.  This is joint work with J. Hoisington.\n
LOCATION:https://researchseminars.org/talk/OSGA/26/
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