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SUMMARY:The space-time-Grassmann measure of the Brakke flow - Myles Workma
 n (NCTS)
DTSTART:20260202T140000Z
DTEND:20260202T150000Z
UID:TALK242164@talks.cam.ac.uk
CONTACT:48139
DESCRIPTION:This talk is concerned with the Brakke flow\, which is a weak 
 measure theoretic solution to the mean curvature flow. I will start by int
 roducing the Brakke flow\, and talk about some important properties\, as w
 ell as some key difficulties of the flow. I shall then move onto my own re
 cent joint work with Liu\, in which we have proven the existence of a spac
 e-time-Grassmann measure for the flow\, and given a new characterisation o
 f the flow with respect to the space-time weight of this measure.  This le
 ads to a new definition of the Brakke flow as that of a space-time measure
  which satisfies the Brakke inequality in an appropriate distributional se
 nse. The aim of this talk is to motivate this study of the Brakke flow as 
 a space-time measure. This will include proving that fundamental geometric
  properties along the flow (the mean curvature vector\, the tangent map\, 
 and the density)\, are all measurable with respect to this space-time weig
 ht measure.
LOCATION:MR14
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