Artin群的自由分解以及相关的一些问题

发布者:曹思圆发布时间:2025-05-08浏览次数:10

报告时间:5月9日周五下午15:00-16:00

报告地点:数学楼401报告厅

报告人: 叶圣奎 副教授

主持人:邹燕青


报告人简介:

叶圣奎,2012年获新加坡国立大学博士学位,后在牛津大学做博士后,现为上海纽约大学副教授。研究兴趣在拓扑学领域。文章在发表在Transactions of the American Mathematical Society,Journal of the London Mathematical Society, Israel Journal of Mathematics等期刊。


报告摘要:

For what kind of Aritn groups, it can be writen as a graph of free groups? We will show that for triangle Artin group Art23M splits as a graph of free groups if and only if M is greater than 5 and even. This answers two questions of Jankiewicz in the negative. Combined with the results of Squier and Jankiewicz, this completely determines when a triangle Artin group splits as a graph of free groups. Further applications to polyness will be discussed. This is a joint work with Xiaolei Wu.