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

拓扑研讨班

Speaker: 段剑儒（北京大学）

Inviter: 苏阳

Language: Chinese

Title: Universal L^2-torsion detects fibered 3-manifolds

Time & Venue: 2025年12月17日（星期三） 14:30 - 15:30 地点：南楼 N820

Abstract: It is well-known that the Alexander polynomial of a fibered knot must be monic. But in general the converse is not true. In this talk, we introduce the universal L^2-torsion of a 3-manifold, an invariant defined in analogy with the classical Reidemeister torsion, but using tools from L^2-theory. We show that this invariant detects fibered 3-manifolds. Our proof is based on a study of the leading term map on Linnell's skew field.