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{\Large GEOMETRIC EVOLUTION EQUATIONS}\\
Seminar, Fall 1997
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We plan to present some recent papers in the general area
of geometric evolution equations of a `parabolic' nature.
The main topics of interest to the organizers are:
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\item Curvature evolution of curves in the plane and on
surfaces (M.Gage, R.Hamilton, S.Angenent, G.Huisken);
\item Mean curvature flow: Asymptotic behavior of
singularities (Huisken), evolution of entire graphs (Ecker-Huisken),
convergence of Allen-Cahn's equation to Brakke's flow (T. Ilmanen);
\item Center of mass of asymptotically flat spacetimes
and foliations by spheres of constant mean curvature
(Huisken-S.-T. Yau, R.Ye).
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We welcome suggestions from the participants on
additional recent work in this general area.
Graduate students with an interest in p.d.e./geometry
are encouraged to participate!
Prerequisites are
some experience with partial differential equations and some
familiarity with basic differential geometry.
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TENTATIVE TIME AND PLACE: 3:30-4:30 Thursdays, Ayres 309A
FIRST MEETING: September 4
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Nick Alikakos\\
Alex Freire
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{\Large DIFFERENTIAL GEOMETRY SEMINAR}\\
Freire, Guan, Plaut
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TENTATIVE TIME AND PLACE: 2:30-3:30 Fridays, Ayres 125
FIRST MEETING: September 5
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