欧洲杯决赛报告题目：Inverse spectral problem for ellipses
报 告 人：Hamid Hezari 教授
所在单位：University of California, Irvine（加州大学尔湾分校）
欧洲杯竞猜报告时间：2024年3月28日 10:00
报告地点：ZOOM ID：203 271 7634， 密码：123456
校内联系人： 张凯 zhangkaimath@jlu.edu.cn
欧洲杯决赛报告摘要：This talk is about Kac's inverse problem from 1966: "Can one hear the shape of a drum?" The question asks whether t欧洲杯决赛he frequencies of vibration of a bounded domain determine the shape of the domain. First we present a quick survey on th欧洲杯预测e known results. Then we discuss the key connection between eigenvalues of the Laplacian and the dynamics of the billiar欧洲杯冠亚军d, which is governed by the so called “Poisson Summation Formula“. Finally we discuss our main theorem that "one can hea欧洲杯冠亚军r the shape of nearly circular ellipses". This was a joint work with Steve Zelditch (9/13/1953 – 9/11/2022).
欧洲杯买球网报告人简介： Prof. Hezari obtained his PhD from Johns Hopkins University in 2009. Following that, he served as a CLE Moore ins欧洲杯竞猜tructor at MIT from 2009 to 2012. During the fall of 2010, he held a postdoctoral position at the MSRI program on invers欧洲杯竞猜e problems. Currently, he holds a professorial position at UCI.
His research primarily focuses on analysis and PDEs. Prof. H欧洲杯冠亚军ezari has a keen interest in semiclassical/microlocal analysis and its diverse application欧洲杯买球网s in PDE and mathematical physics, particularly in spectral geometry and quantum chaos. Notably, he has contributed sign欧洲杯预测ificantly to the field with 28 high-quality publications, including works published in Annals.
