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Seminar
FIELD Math:Geometry
DATE June 29 (Wed), 2022
TIME 16:00-17:00
PLACE Online
SPEAKER Ma, John M-S
HOST Chai, Xiaoxiang
INSTITUTE University of Copenhagen
TITLE Entropy bounds for Embedded self-shrinkers with rotational symmetry
ABSTRACT In this talk, we study the space of complete embedded rotationally symmetric self-shrinking hypersurfaces in $\mathbb{R}^{n+1}$. First, using comparison geometry in the context of metric geometry, we derive explicit upper bounds for the entropy of all such self-shrinkers. Second, as an application we prove a smooth compactness theorem on the space of all such shrinkers. We also prove that there are only finitely many such self-shrinkers with an extra reflection symmetry.

This is a joint work with Ali Muhammad and Niels Martin M\oller.
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