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TZID:Asia/Jerusalem
BEGIN:STANDARD
DTSTART:20171029T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
TZNAME:IST
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BEGIN:DAYLIGHT
DTSTART:20180323T020000
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UID:calendar.49479.field_date.0@mathematics.huji.ac.il
DTSTAMP:20191122T144148Z
CREATED:20171231T100027Z
DESCRIPTION:Date: \n\n2:30pm to 3:30pm\n\n\n\n\nSee also: Events & Semina
rs\, ColloquiumLocation: \n\nManchester Building (Hall 2)\, Hebrew Univers
ity Jerusalem\n\n\nBeing the gradient flow of the area functional\, the me
an curvature flow can be thought of as a greedy algorithm for simplifying
embedded shapes. But how successful is this algorithm? \nIn this talk\, I
will describe three examples for how mean curvature flow\, as well as its
variants and weak solutions\, can be used to achieve this desired simplifi
cation.\nThe first is a short time smoothing effect of the flow\, allowing
to smooth out some rough\, potentially fractal initial data.\nThe second
is an application of mean curvature flow with surgery to smooth differenti
al topology\, allowing to conclude Schoenflies-type theorems about the mod
uli space of smooth embedded spheres and tori\, satisfying some curvature
conditions.\nThe third is an application of (weak\,modified) mean curvatur
e flow to differential geometry\, allowing to relate bounds on the gaussia
n entropy functional to the topology of a closed hypersurface.\nIn this ta
lk\, which will assume no prior knowledge in PDE or mean curvature flow\,
I will try to highlight the relation between the analysis of the flow and
in particular\, its singularity formation\, to both ''time dependent'' an
d ``classical’’ geometry.\nSome of the results described in this talk are
joint works with Reto Buzano\, Robert Haslhofer and Brian White.\n\n Expo
rt\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20171228T143000
DTEND;TZID=Asia/Jerusalem:20171228T153000
LAST-MODIFIED:20191104T060051Z
SUMMARY:Colloquium: Or Hershkovits (Stanford) - 'The Mean Curvature flow an
d its applications'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/colloquium-or-hershkovits
-stanford-mean-curvature-flow-and-its-applications
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