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香港城市大学刘宏宇教授报告通知
发布人:蔡易  发布时间:2022-05-23   浏览次数:210

由哈尔滨工业大学国际合作部“国际学者云课堂”系列活动组织,应365体育亚洲唯一官网入口汪贤超副教授的邀请,香港城市大学数学系刘宏宇教授将于近日在365体育亚洲唯一官网入口做系列beat365下载唯一官方网。以下是报告信息,欢迎感兴趣的广大师生参加。

报告时间:2022529(周日)8:30-11:30

报告题目一:Mathematical theory of visibility and invisibility

报告摘要:This is the first one of a series of talks on the mathematical theory of visibility and invisibility.I shall present a bird view of the mathematical study of inverse problems including the two faces of visibility and invisibility.

报告题目二:Overdetermined PDEs and Schiffer’s problem in inverse scattering theory

报告摘要:Schiffer’s problem asks whether one can determine the shape of an obstacle by a single far-field measurement. It is a well know and longstanding geometric inverse problem in scattering theory. I shall describe the research progress of our group as well as proffer several conjectures.

 

报告时间:2022530(周一) 14:00-17:00

报告题目三:Mathematical theory of a class of inverse problems with unknown sources and mediums

报告摘要:We are mainly concerned with a class of inverse problems where one intends to simultaneously recover certain unknown sources and mediums by using passive or active measurements. This type of inverse problems arises in a variety of cutting-edge applications including 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 and numerical reconstruction results.

报告题目四:Mathematical theory of invisibility cloaking and metamaterials

报告摘要:Invisibility is the other face of inverse problem where one intends to hide the information of a target object from being detected with respect to certain probing means. In this talk, I shall discuss our mathematical understanding of two cloaking approaches, one by transformation medium coating and the other one by anomalous localized resonances, both using metamaterials.

 

报告时间:2022531(周二) 14:00-17:00

报告题目五:Spectral geometry of transmission resonance and applications

报告摘要:Transmission eigenvalue problems are a type of non-elliptic, non-self-adjoint and nonlinear (in a certain sense) spectral problems that arise in scattering theory when transparency/invisibility occurs. We discover that transmission eigenfunctions possess rich geometric structures. I shall discuss those intriguing geometric patterns as well as the associated applications in inverse problems, which show the reconciliation of visibility and invisibility.

报告题目六:Inverse scattering, bionic learning and AIs

报告摘要:In this talk, I shall discuss the interplay among inverse scattering techniques, bionic learning and artificial intelligences and report several interesting discoveries by our research group.

 

报告形式:腾讯会议,会议号:578 7181 1431

 

报告人简介:刘宏宇,香港城市大学数学系教授,国家级高层次人才,福建省闽江学者讲座教授。研究领域为应用数学和计算数学,包括反问题,波成像,数学物理方程,超材料的数学理论,散射理论和谱几何。近年来也探讨反散射与仿生学习及人工智能的交叉和结合。