Abstract:

We show that any closed connected hypersurface in R^4 with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere. This is joint with Jacob Bernstein. 

About the speaker: 

Dr. Lu Wang is currently a Professor of Mathematics at Caltech. She graduated from MIT in 2011 with a Ph.D. in mathematics under the direction of Tobias H. Colding, and earned a B.S. in mathematics from Peking University in 2006 under the direction of Zhangju Liu. Before joining Caltech, she was an Assistant Professor in the Department of Mathematics at University of Wisconsin-Madison from 2015 to 2019. Prior to that she was a Chapman Fellow of Mathematics at Imperial College London. From 2011 to 2014, she was a J.J. Sylvester Assistant Professor in the Department of Mathematics at Johns Hopkins University, taking a leave in Fall 2011 at Mathematical Sciences Research Institute (MSRI) as a postdoctoral fellow.

Her primary research interest is geometric analysis -- more specifically, geometric flows (mean curvature flow, Ricci flow, and harmonic map heat flow) and related topics, such as minimal surfaces and low-dimensional topology.

ZOOM INFO:

ID: 653-2421-5204

PIN: 046700