[CvGmt News] GFO-Pisa Seminars - Tuesday/Wednesday 26/27 May 2009
Carlo Mantegazza
c.mantegazza at sns.it
Mon May 25 17:24:16 CEST 2009
Talk of Chau Wu, Tuesday 26/5/09 at 18.00 in Aula Dini,
Palazzo del Castelletto, Scuola Normale Superiore
Talk of Esther Cabezas-Rivas, Wednesday 27/5/09 at 18.00 in Aula Dini,
Palazzo del Castelletto, Scuola Normale Superiore
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26 May 2009 - Chao Wu
Department of Mathematics, Zhejiang University, China
On asymptotic behavior for singularities of the powers of mean curvature
flow
Abstract: We consider the flow of a closed immersed hypersurface evolving
along its normal direction with speed H^k, where H is the mean curvature
and k is a positive constant. It is a natural generalization of the well
known mean curvature flow. For a convex initial hypersurface, such flow
will develop singularities after finite time, which can be classified as
two types according to the blow up rate. We study the structure of the
rescaled limits, and we show that for a Type I singularity, the limiting
hypersurface satisfies an elliptic equation, for a Type II singularity,
the limiting hypersurface must be a translating soliton.
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27 May 2009 - Esther Cabezas-Rivas
Mathematics Institute, University of Warwick
Ricci solitons on space-time
Abstract: In this talk, we will describe how the theory of optimal
transportation can lead to new Ricci flow results independent of optimal
transportation itself. In particular, given a Ricci flow on a manifold M
over a time interval I, we introduce a second time parameter, and define
natural gradient Ricci solitons on the space-time M x I. We show how part
of the existing theory of Ricci flow is encoded in our solitons, and
explain the link between this geometric construction and optimal
transportation.
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