Analysis and Geometric Analysis Seminar

Jonathan ZhuPrinceton University
Explicit Łojasiewicz inequalities for shrinking solitons

Monday, October 4, 2021 - 2:40pm
Malott 406

Łojasiewicz inequalities are 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.