报告题目一： Inverse problems for large population dynamics

摘要: A famous quote says: “The most incomprehensible thing about the world is that it is comprehensible.” Following this quote, the most incomprehensible thing about biological species, including human beings, is that they are comprehensible, but in the large scale. Hence, they can be quantitatively understood, predicted and even controlled, which naturally leads to various inverse problems. In this talk, I will discuss our recent study of inferring the large population dynamics from observation of the corresponding dynamical behaviours with applications. Emphasis will be given to inverse problems for several biological models and mean field games.

时间：2024年12月26日（星期四）下午14:00-15:30

地点：理学楼609报告厅

报告题目二：Pattern formations of coupled PDEs with transparent boundary conditions and applications

摘要: In this talk, I will discuss our study on a class of coupled PDEs with transparent boundary conditions that arises in a variety of cutting-edge applications including inverse boundary problems, spectral geometry of invisibility, and super-resolution imaging. I shall report several peculiar local and global pattern formations of these PDEs. Several novel applications will also be discussed.

时间：2024年12月30日（星期一）上午9:00-10:30

地点：理学楼609报告厅

报告题目三： Curvature effects in plasmon resonances and applications

摘要: In this talk, I will argue a geometric principle that the high curvatures mainly induce the peculiar surface plasmon resonances. This geometric perspective enables us to develop novel applications about plasmon technologies.

时间：2024年12月30日（星期一）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.