Geometric Analysis and Topology Seminar

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Distance comparison principles for curve shortening flows

Speaker: Jonathan Zhu, University of Washington

Location: Warren Weaver Hall 512

Videoconference link: https://nyu.zoom.us/j/95759976381

Date: Friday, April 14, 2023, 11 a.m.

Synopsis:

Abstract: For closed curves evolving by their curvature, the theorem of Gage-Hamilton and Grayson establishes that an embedded curve contracts to a round point. An efficient proof was later found by Huisken, with improvements by Andrews-Bryan, which uses multi-point maximum principle techniques. We’ll discuss the use of these techniques in other settings, particularly for the long-time behaviour of curve shortening flow with free boundary.