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欧洲杯赛事数学学院、所2024年系列学术活动(第016场):Hamid Hezari 教授 University of 欧洲杯投注California, Irvine(加州大学尔湾分校)

发表于: 2024-03-27   点击: 

报告题目:Inverse spectral problem for ellipses

报 告 人:Hamid Hezari 教授

欧洲杯投注所在单位:University of California, Irvine(加州大学尔湾分校)

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


欧洲杯竞猜报告摘要:This talk is about Kac's inverse problem from 1966: "Can one hear the shape of a drum?" The question asks whether t欧洲杯赛事he frequencies of vibration of a bounded domain determine the shape of the domain. First we present a quick survey on th欧洲杯竞猜e known results. Then we discuss the key connection between eigenvalues of the Laplacian and the dynamics of the billiar欧洲杯决赛d, which is governed by the so called “Poisson Summation Formula“. Finally we discuss our main theorem that "one can hea欧洲杯竞猜r the shape of nearly circular ellipses". This was a joint work with Steve Zelditch (9/13/1953 – 9/11/2022).


欧洲杯预测报告人简介: Prof. Hezari obtained his PhD from Johns Hopkins University in 2009. Following that, he served as a CLE Moore ins欧洲杯买球网tructor at MIT from 2009 to 2012. During the fall of 2010, he held a postdoctoral position at the MSRI program on invers欧洲杯决赛e problems. Currently, he holds a professorial position at UCI.

His research primarily focuses 欧洲杯投注on analysis and PDEs. Prof. Hezari has a keen interest in semiclassical/microlocal analys欧洲杯决赛is and its diverse applications in PDE and mathematical physics, particularly in spectral 欧洲杯决赛geometry and quantum chaos. Notably, he has contributed significantly to the field with 28 欧洲杯买球网high-quality publications, including works published in Annals.