Seminar on Geometric Analysis and Its Applications: Semiclassical Weyl’s laws for open manifolds and contact manifolds

报告人： Raphael Ponge (Sichuan University)
Time & Date: 9:30 a.m., 3rd April
地点： Room 1310

摘要： The semiclassical Weyl’s laws on Euclidean spaces gives an asymptotic for the number of negative eigenvalues of Schrödinger operators under the semiclassical limit. We will explain how to use a version of a semiclassical Weyl’s in noncommutative geometry to get semiclassical Weyl’s laws for open manifolds and contact manifolds. If time is allowed we will also discuss applications to Steklov eigenvalue problem.