报告人：赵永强(西湖大学)

时间：2024年06月20日 10：00-

地址：理科楼LA103

摘要：It is well known that the standard flat torus T^2=R^2/Z^2 has arbitrarily large Laplacian-eigenvalue multiplicities. Consider the discrete torus C_N * C_N with the discrete Laplacian operator; we prove, however, that the eigenvalue multiplicities are uniformly bounded for any N, except for the eigenvalue one when N is even. In fact, similar phenomena also hold for higher-dimensional discrete tori and abelian Cayley graphs. In this talk, we will outline a proof of the uniformly bounded multiplicity result.

        This is a joint work with Bing Xie and Yigeng Zhao.

简介：赵永强， 博士毕业于美国威斯康星大学麦迪逊分校数学系， 现为西湖大学理学院特聘研究员。主要研究方向为数论及其相关领域。

邀请人：傅士硕

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