中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

数论研讨班

Speaker: 刘媛 助理教授（UIUC）

Inviter: 付保华

Language: Chinese

Title: Distribution of class groups and their nonabelian generalizations

Time & Venue: 2025年11月26日（星期三） 10:30 - 11:30 & ZoomID：886 7485 0927密码：123456

Abstract: In arithmetic statistics, one important problem is to study the distribution of class groups of families of global fields. It originates in 1984 by Cohen and Lenstra who gave conjectures for the distribution of the odd part of class groups of quadratic fields. In recent decades, many breakthroughs have been made in different directions of this problem such as proving the function field analog of the Cohen-Lenstra heuristics, studying distribution of the nonabelian generalizations of class groups, and understanding how the distributions alter over different families of global fields. In this talk, I will introduce the history and recent progress of the (nonabelian) Cohen-Lenstra problem.