Geometric Analysis Seminar—— Hearing the shape of a trapezoid by its Laplace spectrum
主 题: Geometric Analysis Seminar—— Hearing the shape of a trapezoid by its Laplace spectrum
报告人: Prof. Zhiqin Lu (University of California, Irvine)
时 间: 2018-06-04 10:10-11:10
地 点: Room 1303, Sciences Building No. 1
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.