BIMSA > Seminar on Control Theory and Nonlinear Filtering Bound of Eigenvalue of Schrodinger operator
Bound of Eigenvalue of Schrodinger operator
Organizer
Shing Toung Yau
Speaker
Xiao Pei Jiao
Time
Monday, May 22, 2023 4:30 PM - 5:00 PM
Venue
数学系理科楼A-203
Abstract
In this talk, some known literatures about bound of eigenvalue of Schrodinger operator will be discussed. Especially, lower bound of first eigenvalue and gap of first 2 eigenvalues are quite important in many topics.
Speaker Intro
Xiaopei Jiao received his bachelor's degree from the Zhiyuan College of Shanghai Jiao Tong University and his Ph.D. from the Department of Mathematical Sciences at Tsinghua University. He subsequently worked as a postdoctoral researcher at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and at the University of Twente in the Netherlands. His current research interests include finite-dimensional filtering theory, Yau-Yau filtering methods, physics-informed neural networks, and bioinformatics. His research focuses primarily on: (1) using geometric tools such as Lie algebras for solving partial differential equations and classifying nonlinear systems; (2) designing novel numerical algorithms based on physics-informed neural networks.