报告题目：On the multiplicity of the eigenvalues of discrete tori

报告人：赵永强（西湖大学）

时间：2023年11月24日(星期五) 15:30-17:00

地点：苏州大学天赐庄校区维格堂319

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. In this talk, we will outline a proof of the uniformly bounded multiplicity result. This is joint work with Bing Xie and Yigeng Zhao.

报告人简介：赵永强，西湖大学理学院特聘研究员。主要研究方向为数论与算术几何，具体包括：算术统计，数域类群torsion子群，代数簇上有理点和整点的分布，代数曲线的syzygy理论，图的谱理论及其与数论的关系等。

欢迎参加！

邀请人：张影