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DTSTART:20230312T070000
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DTSTART:20221106T060000
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DTSTART;TZID=America/Toronto:20230629T143000
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URL:https://uwaterloo.ca/pure-mathematics-geometry-topology/events/cohomoge
 neity-one-lagrangian-mean-curvature-flow
SUMMARY:Cohomogeneity-One Lagrangian Mean Curvature Flow
CLASS:PUBLIC
DESCRIPTION:JESSE MADNICK\, UNIVERSITY OF OREGON\n\nIn C^n\, mean curvature
  flow preserves the class of Lagrangian\nsubmanifolds\, a fact known as \"
 Lagrangian mean curvature flow\" (LMCF).\nAs LMCF typically forms finite-t
 ime singularities\, it is of interest\nto understand the blowup models of 
 such singularities\, as well as the\nsoliton solutions.\n\nIn this talk\, 
 we'll consider the mean curvature flow of Lagrangians\nthat are cohomogene
 ity-one under the action of a compact Lie group.\nInterestingly\, each suc
 h Lagrangian lies in a level set \\mu^{-1}(c) of\nthe moment map \\mu\, an
 d mean curvature flow preserves this\ncontainment. Using this\, we'll clas
 sify all cohomogeneity-one\nshrinking\, expanding\, and translating solito
 ns. Further\, in the zero\nlevel set \\mu^{-1}(0)\, we'll classify the Typ
 e I and Type II blowup\nmodels of cohomogeneity-one LMCF singularities.\n\
 nFinally\, given any cohomogeneity-one special Lagrangian in\n\\mu^{-1}(0)
 \, we'll show that it arises as a Type II blowup\, thereby\nyielding infin
 itely many new singularity models. This is joint work\nwith Albert Wood.\n
 \nMC 5417
DTSTAMP:20260311T020332Z
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