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SUMMARY:Quantitative Wasserstein rounding - Assaf Naor (Princeton Universi
 ty)
DTSTART:20240411T080000Z
DTEND:20240411T090000Z
UID:TALK214021@talks.cam.ac.uk
DESCRIPTION:The main focus of this talk will be to describe recent work (j
 oint with Braverman) on the Lipschitz extension problem that obtains solut
 ions to various natural quantitative questions by thinking about its (know
 n) dual formulation as a question about randomly rounding an ambient metri
 c space to its subset while preserving certain natural guarantees that are
  measured in terms of transportation cost. We will start by discussing the
  classical formulation of these old questions as well as some background a
 nd earlier results\, before passing to examples of how one could reason qu
 antitatively using the dual perspective.
LOCATION:Seminar Room 1\, Newton Institute
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