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Uniqueness of Semigraphical Translators

Recent progress on geometric analysis and Riemannian geometry October 21, 2024 - October 25, 2024

October 22, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Mariel Saez Trumper (Pontificia Universidad Católica de Chile)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Uniqueness of Semigraphical Translators

Abstract

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In this talk we prove the uniqueness of pitchfork and helicoid translators of the mean curvature flow in $\mathbb{R}^3$.  This solves a conjecture by Hoffman, White and Martin.

The proof is based on   an arc-counting argument motivated by Morse-Rad\'o theory for translators and a rotational maximum principle. 

This is joint work with F. Martin and R. Tsiamis.

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Uniqueness of Semigraphical Translators

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