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DTSTART:20171029T020000
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UID:calendar.49533.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200606T120824Z
CREATED:20171231T190005Z
DESCRIPTION:Date: \n\n1:00pm to 2:30pm\n\n\n\n\nSee also: Topology & Geom
etry\, Events & Seminars\, SeminarsLocation: \n\nRoom 63\, Ross Building\,
Jerusalem\, Israel\n\n\nAbstract: Given a smooth compact hypersurface in
Euclidean space\, one can show that there exists a unique smooth evolution
starting from it\, existing for some maximal time. But what happens after
the flow becomes singular? There are several notions through which one ca
n describe weak evolutions past singularities\, with various relationship
between them. One such notion is that of the level set flow. While the lev
el set flow is almost by definition unique\, it has an undesirable phenome
non called fattening: Our “weak evolution” of n-dimensional hypersurfaces
may develop (and does develop in some cases) an interior in R^{n+1}. This
fattening is\, in many ways\, the right notion of non-uniqueness for weak
mean curvature flow.\nAs was alluded to above\, fattening can not occur as
long as the flow is smooth. Thus it is reasonable to say that the source
of fattening is singularities. Permitting singularities\, it is very easy
to show that fattening does not occur if the initial hypersurface\, and th
us all the\nevolved hypersurface\, are mean convex. Thus\, singularities e
ncountered during mean convex mean curvature flow should be of the kind th
at does not create singularities (i.e\, the local structure of the singula
rities should prevent fattening\, without any global mean convexity assump
tion). To put differently\, it’s reasonable to conjecture that: 'An evolvi
ng surface cannot fatten unless it has a singularity with no spacetime nei
ghborhood in which the surface is mean convex”.\nIn this talk\, we will ph
rase a concrete formulation of this conjecture\, and describe its proof. T
his is a joint work with Brian White.\nלאירוע הזה יש שיחת וידאו.\nהצטרף: h
ttps://meet.google.com/mcs-bwxr-iza\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20171226T130000
DTEND;TZID=Asia/Jerusalem:20171226T143000
LAST-MODIFIED:20180119T230007Z
SUMMARY:T&G: Or Hershkovits (Stanford)\, Uniqueness of mean curvature flow
through (some) singularities
URL;TYPE=URI:https://mathematics.huji.ac.il/event/tg-or-hershkovits-stanfor
d-uniqueness-mean-curvature-flow-through-some-singularities
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