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Hearing the shape of a trapezoid by its Laplace spectrum - Professor Zhiqin Lu (UC Irvine)

作者:   来源:  时间:2018-05-31

题目:Hearing the shape of a trapezoid by its Laplace spectrum

报告人: Professor Zhiqin Lu (UC Irvine)

Abstract: It is well known that one can “hear” the shape of a triangle drum. For a general polygon, the same problem is surprisingly still open. We shall prove that the shape of a trapezoid is determined by its Neumann or Dirichlet eigenvalues. The proof depends on the analysis of singularities of the wave trace, and therefore it is related to the classification of short families of geodesics of a trapezoid. This is the joint work with Hamid Hezari and Julie Rowlett.

时间:5月31日(周四)下午4:00--5:00

地点:首都师大新教2楼 827  教室

 

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