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SUMMARY:Local Regularity in Mean Curvature Flow - Thomas Begley (CCA)
DTSTART:20140611T150000Z
DTEND:20140611T160000Z
UID:TALK52820@talks.cam.ac.uk
CONTACT:Vittoria Silvestri
DESCRIPTION:I will introduce the notion of a mean curvature flow (in the c
 lassical smooth setting) before going on to discuss the much celebrated lo
 cal regularity theorem of Brian White and some of its consequences. This l
 ocal regularity theorem is something like a parabolic analogue of Allard
 ’s regularity theorem\, and applies to a wide class of flows\, in partic
 ular to certain `weak' flows arising as measure theoretic limits of smooth
  flows. Time permitting I will then also describe its application to curre
 nt joint work with Kim Moore on a short time existence theorem for Lagrang
 ian mean curvature flow with non-smooth initial data (specifically initial
  data with singularities asymptotic to a transversally intersecting pair o
 f planes).
LOCATION:MR14\, Centre for Mathematical Sciences
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