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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Local Regularity in Mean Curvature Flow - Thomas B
egley (CCA)
DTSTART;TZID=Europe/London:20140611T160000
DTEND;TZID=Europe/London:20140611T170000
UID:TALK52820AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52820
DESCRIPTION:I will introduce the notion of a mean curvature fl
ow (in the classical smooth setting) before going
on to discuss the much celebrated local regularity
theorem of Brian White and some of its consequenc
es. This local regularity theorem is something lik
e a parabolic analogue of Allardâ€™s regularity theo
rem\, and applies to a wide class of flows\, in pa
rticular to certain `weak' flows arising as measur
e theoretic limits of smooth flows. Time permittin
g I will then also describe its application to cur
rent joint work with Kim Moore on a short time exi
stence theorem for Lagrangian mean curvature flow
with non-smooth initial data (specifically initial
data with singularities asymptotic to a transvers
ally intersecting pair of planes).
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Vittoria Silvestri
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