Explicit ?ojasiewicz inequalities for shrinking solitons
Jonathan Zhu (Princeton University)
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.