Parametric Geometric Inequalities and Their Applications
发布时间：2023年05月30日
浏览次数：2412
发布者: Wenqiong Li
主讲人： Yevgeny Liokumovich (University of Toronto)
活动时间： 从 2023-05-31 09:00 到 10:00
场地： 线上
Abstract: I will talk about parametric versions of two classical inequalities in geometry: the isoperimetric inequality and coarea inequality. These two inequalities are basic tools in analyzing properties of submanifolds in Riemannian geometry. The parametric versions are statements about a family of submanifolds as opposed to one single submanifold. I will discuss proofs of some parametric inequalities in low dimensions, the higher dimensional versions that are still open and their applications to minimal surfaces and stationary geodesic nets. The talk will be based on joint works with Larry Guth and Bruno Staffa.
Speaker: Yevgeny Liokumovich is currently an assistant professor at University of Toronto. He obtained his Ph.D. at University of Toronto in 2015 under the supervision of Alexander Nabutovsky and Regina Rotman. His interests lie at the intersection of Geometric Analysis, Quantitative Topology and Geometric Measure Theory. He is also interested in problems in 3-manifold topology.
ID: 811 0028 7715
Passcode: 165951
