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Spectral gap of stable commutator length in graphs of groups and 3-manifolds

来源:复旦大学数学科学学院 | 2019-12-23 | 发布:BOB体育娱乐平台之家

报告题目: Spectral gap of stable commutator length in graphs of groups and 3-manifolds报 告 人:陈绿洲报告人所在单位:芝加哥大学报告日期:2019-12-27 星期五报告时间:14:30-15:20报告地点:光华楼西辅楼401报告摘要:
The stable commutator length (scl) is a relative version of the Gromov-Thurston norm. It is a group invariant sensitive to geometric and dynamical properties. Many groups that act on non-positively curved spaces are known to have a spectral gap in scl, which is a homological analog of margulis constants for negatively curved manifolds. We will discuss sharp estimates of spectral gaps for groups acting on trees using a topological method. This yields a gap for any 3-manifold group and a new proof for the optimal gap 1/2 by Heuer on all right-angled Artin groups. This is joint work with Nicolaus Heuer.



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