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张城 博士:Weyl Laws of Schrodinger operators on manifolds

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 张城 博士, University of Rochester
Inviter:
Title:
 Weyl Laws of Schrodinger operators on manifolds
Time & Venue:
 2021.11.12 10:00-11:00 南楼N204 腾讯会议：737 926 522
Abstract:
 Weyl law describes the asymptotic behavior of eigenvalues. I will introduce the eigenvalue problem of the Schrodinger operators with singular potentials on compact Riemannian manifolds. In recent works with Xiaoqi Huang (Universityof Maryland), we proved the pointwise Weyl laws for the Schrodinger operators with critically singular potentials, and showed that they are sharp by constructing explicit examples on flat tori. This work extends recent 3D results of R.L. Frank (Caltech) andSabin (University of Paris-Saclay) to any dimensions.

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