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

报告人：陆志勤 教授，加州大学尔湾分校

时间：2018年5月30日（周三） 下午4点

地点：管理科研楼1518教室

摘要：It is well known that one can “hear” the shape of a triangular 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 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.

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