Asymptotic structure of self-shrinkers

Asymptotic structure of self-shrinkers

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Lu Wang, University of Wisconsin
Fine Hall 314

Self-shrinkers are singularity models for mean curvature flow. In this talk, I will show that each end of a noncompact self-shrinker in the Euclidean three-space of finite topology is smoothly asymptotic to a regular cone or a round cylinder.