4-9【伍晓磊】Infinitely presented simple groups separated by homological finiteness properties

发布时间:2026-03-22来源:几何与物理研究中心中文网页浏览次数:10

报告人:伍晓磊复旦大学

时间:2026年4月9日10:00-11:00

地点:物质科研楼C1124


  

I will begin by introducing the basic notions of finiteness properties of groups, including finite generation, finite presentability, and their topological and algebraic generalizations. I will then describe the Bestvina–Brady construction, which produces groups with strikingly exotic properties, in particular groups of type FP_2 that are not finitely presented. Finally, I will explain how to construct simple groups exhibiting these exotic finiteness properties. The construction uses Rover–Nekrashevych groups. This is based on joint work with Claudio Llosa Isenrich and Eduard Schesler.