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Self-similar solutions of the mean curvature flow II

Jacob Bernstein (Johns Hopkins University)

Self-similar solutions of the mean curvature flow (MCF) are solutions which evolve under the flow while maintaining their shape. They are important in the study of the MCF (and in other geometric flows) as they form the basic models of singularity formation and resolution.I will discuss some of the basic features of these solutions (with a focus on self-shrinking solutions) and go on to give an overview of major known results.

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Department of Mathematics, Hill 348
Hill Center for Mathematical Sciences
Rutgers, The State University of New Jersey
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Piscataway, NJ 08854-8019

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