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【学术报告】2018年7月6日下午魏巧玲副教授来我院举办学术讲座

2018-07-02 11:33:38    浏览次数:

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报告人:魏巧玲(首都师范大学)

报告题目:On deformational spectral rigidity of convex symmetric planar domains

报告摘要:This talk is related to the famous question "Can you hear the shape of drum?" by M.Kac in 1960'. That is, whether a planar domain Ω can be uniquely determined by its Laplace spectrum consisting of eigenvalues of a Dirichlet problem . In general, there are counterexamples.Meanwhile, from dynamical aspect, there is length spectrum consisting of perimeters of all periodic orbits of a billiard problem inside Ω. The Laplace and length spectra are closely related, generically the first determines the second.During the talk we show that a planar axis symmetric domain close to the circle can not be smoothly deformed preserving the length spectrum unless the deformation is a rigid motion. This is a joint work with J. De Simoi and V.Kaloshin.

报告时间:2018年7月6日(星期五)下午14:30--15:30

报告地点:科技楼(南)702室