中国科学院数学研究所何伟鲲副研究员学术报告

发布者:周春宇发布时间:2023-10-16浏览次数:10

报告题目:Spectral gap in subgroups of SL_d(Z/nZ)

报告人:何伟鲲(中国科学院数学研究所)

报告时间:2023101914:00

报告地点:线上腾讯会议:791-486-685

报告摘要:Uniform spectral gap (of the discrete Laplace operators) of a family of finite groups is also known as expansion in groups or property (tau). In the case of SL_2(Z/nZ), a uniform spectral gap is present as a consequence of Selberg's 3/16 theorem and the Burger-Brooks correspondence. In this talk, I will explain how to show uniform spectral gap in broader classes of groups, using combinatorics and dynamics. This talk is based on a joint work with Nicolas de Saxce, which is build on works of Bourgain-Gamburd and Bourgain-Varju among others.

报告人简介:何伟鲲,2017年在法国巴黎萨克雷大学取得博士学位,随后在以色列希伯来大学和韩国高等研究院做博士后,现为中国科学院数学与系统科学研究院副研究员。研究领域为遍历论与分形几何。


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