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Geometric Analysis Seminar

Explicit ?ojasiewicz inequalities for shrinking solitons

Jonathan Zhu (Princeton University)

Location:  Zoom
Date & time: Tuesday, 26 October 2021 at 2:50PM - 3:50PM

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