当前位置: 首页 > 学术报告
几何与代数基础科学研究中心
Artin群的自由分解以及相关的一些问题
叶圣奎 副教授(上海纽约大学)
5月9日周五下午15:00-16:00  闵行校区数学楼401

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.