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| 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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