Left-Orderable Groups and 3-Manifolds
报告题目(Title):Left-Orderable Groups and 3-Manifolds
报告人(Speaker):胡瑛(上海交通大学)
地点(Place):后主楼1124
时间(Time):2026年9月11日(周五)15:00-16:00
邀请人(Inviter):程志云
报告摘要
A group is left-orderable if its elements admit a total order invariant under left multiplication. For fundamental groups of 3-manifolds, this algebraic property has striking connections to 3-manifold topology, most notably through the L-space conjecture. In this talk, we will survey current techniques for establishing left-orderability, with particular emphasis on their connections to foliations and flows on 3-manifolds.