报告题目一： On a geometric principle in wave scattering and its applications

摘要: In this talk, I shall discuss a geometric principle to bridge the micro and macro scales in wave scattering theory as well as its applications in super-resolution imaging and invisibility cloaking.

时间：2024年7月8日（星期一）上午9:00-10:30

地点：理学楼609报告厅

报告题目二：Inverse problems for mean field games

摘要: In this talk, l shall report our latest progress on the mathematical study of inverse problems arising in the theory of mean field games. They are described by coupled nonlinear PDEs. We developed several effective mathematical strategies that can tackle the inverse problems. I shall also discuss several open problems in this emerging field of research.

时间：2024年7月8日（星期一）上午10:30-12:00

地点：理学楼609报告厅

报告题目三： Inverse problems for coupled PDEs arising in mathematical biology

摘要: In this talk, I shall report our recent study on inverse problems arising in mathematical biology. They are described by coupled system of nonlinear PDEs. I shall discuss the modeling issue as well as the mathematical strategies that we developed to tackle the inverse problems.

时间：2024年7月9日（星期二）上午9:00-10:30

地点：理学楼609报告厅

报告题目四：Inverse problems with passive measurements and applications

摘要：We are concerned with a class of inverse problems where one intends to recover certain unknown sources and/or mediums by using passive measurements. This type of inverse problems arises in a variety of cutting-edge applications including geometric body generation, photo-acoustic tomography, MAD (magnetic anomaly detection) technology, earthquake precursor detection and cosmological exploration. In this talk, I shall discuss the mathematical progress of our study including the modeling, unique identifiability, stability, and numerical reconstruction results, as well as applications.

时间：2024年7月9日（星期二）上午10:30-12:00

地点：理学楼609报告厅

报告人简介：Hongyu Liu is Chair Professor of Applied Mathematics at City University of Hong Kong. His research focuses on applied and computational mathematics including inverse problems and imaging, wave propagation, PDEs, spectral theory and scattering theory, mathematical materials science, and mean field games. He is a founding editor-in-chief of Communications on Analysis and Computation; and recipient of the Calderon Prize by Inverse Problems International Association, and Fellow of IOP and Fellow of IMA.