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：2023年10月19日14:00
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。