[CvGmt News] GFO-Pisa Seminars - Wednesday/Thursday 13/14 May 2009

[Carlo Mantegazza]

Talk of Reto Mueller of today 13/5/09, at 17.00 in Aula Conferenze of the 
Centro De Giorgi, collegio Puteano of the SNS

Talk of Annibale Magni of tomorrow 14/5/09, at 17.00 in Aula 
Tonelli of Palazzo Carovana of the SNS

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13 May 2009 - Reto Mueller, ETH Zurich

Monotone Volume Formulas for Geometric Flows

Abstract: We consider geometric flows, where a metric evolves by
\partial_t g = -2 S for some symetric two-tensor S. For
these flows we define forwards and backwards reduced
volume quantities in the spirit of Perelman's backwards
reduced volume for the Ricci flow. We show that if S
satisfies a Harnack type inequality along the flow these
volume quantites are monotone. This result implies new
monotonicity formulas for flows like Bernhard List's extended
Ricci flow system or the mean curvature flow in certain
Lorentzian manifolds.

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14 May 2009 - Annibal Magni, SISSA Trieste

Some remarks on Huisken's monotonicity formula and Grayson's theorem.

Abstract: We give a new unified analysis of the singularities for the
mean curvature flow of curves in R^2.

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