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SUMMARY:Jun Kitagawa (Michigan State University)
DTSTART:20201023T185000Z
DTEND:20201023T195000Z
DTSTAMP:20260423T004141Z
UID:MPHA/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPHA/19/">On
  free discontinuities in optimal transport</a>\nby Jun Kitagawa (Michigan 
 State University) as part of TAMU: Mathematical Physics and Harmonic Analy
 sis Seminar\n\n\nAbstract\nIt is well known that regularity results for th
 e optimal transport (Monge-Kantorovich) problem require rigid geometric re
 strictions. In this talk\, we consider the structure of the set of ``free 
 discontinuities'' which arise when transporting mass from a connected doma
 in to a disconnected one\, and show regularity of this set\, along with a 
 stability result under suitable perturbations of the target measure. These
  are based on a non-smooth implicit function theorem for convex functions\
 , which is of independent interest. This talk is based on joint work with 
 Robert McCann (Univ. of Toronto).\n
LOCATION:https://researchseminars.org/talk/MPHA/19/
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