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CATEGORIES:Analysis Seminar
SUMMARY:Quantitative estimates for geometric variational p
roblems - Melanie Rupflin\, University of Oxford
DTSTART:20221205T150000Z
DTEND:20221205T160000Z
UID:TALK4963AT
URL:/talk/index/4963
DESCRIPTION:Many interesting geometric objects are characteris
ed as minimisers or critical points of natural geo
metric quantities such as the length of a curve\,
the area of a surface or the energy of a map. For
the corresponding variational problems it is often
important to not only analyse the existence and p
roperties of potential minimisers\, but to obtain
a more general understanding of the energy landsca
pe.\n\nIt is for example natural to ask whether an
object that has energy very close to the minimal
possible energy must also essentially "look like"
a minimiser\, and if so whether this holds in a qu
antitative sense\, i.e. whether one can bound the
distance to a minimiser in terms of the energy def
ect. Similarly one would like to understand whethe
r for points where the gradient of the energy is v
ery small one can hope to bound the distance of th
is point to the set of critical points in terms of
the size of the gradient. \n\nIn this talk we wil
l discuss some aspects of such quantitative estima
tes for geometric variational problems and their r
ole in understanding the dynamics of the associate
d gradient flows.\n
LOCATION:WATN-LT B (101)
CONTACT:Yuzhao Wang
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