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Explicit Łojasiewicz Inequalities for Shrinking Solitons

[Virtual] Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow March 21, 2022 - March 24, 2022

March 22, 2022 (09:00 AM PDT - 09:45 AM PDT)
Speaker(s): Jonathan Zhu (Princeton University)
Location: MSRI: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Explicit Łojasiewicz Inequalities For Shrinking Solitons

Abstract

Łojasiewicz inequalities have become a popular tool for studying the stability of geometric structures. For mean curvature flow, Schulze used Simon’s reduction to the classical Łojasiewicz inequality to study compact tangent flows. For round cylinders, Colding and Minicozzi instead used a direct method to prove Łojasiewicz inequalities. We’ll discuss similarly explicit Łojasiewicz inequalities and applications for other shrinking cylinders and products of spheres.

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Explicit Łojasiewicz Inequalities For Shrinking Solitons

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