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Self Similar Solutions to Curve Shortening in Rn

Wednesday, February 12, 2014 - 10:15am - 11:05am
Keller 3-180
Sigurd Angenent (University of Wisconsin, Madison)
Curves that evolve under Curve Shortening by a combination of rescaling and Euclidean motions are solutions to a system of ordinary differential equations on the unit tangent bundle of Rn.
The flow, which has no fixed points, does admit an interesting Morse decomposition, especially after compactifying the phase space.

In this talk I will present the many different solutions to Curve Shortening that arise in this way.
MSC Code: 
53A04
Keywords: