报告题目：Linear hyperbolic groups indiscrete in rank 1 and products

报告人：Tsouvalas Konstantinos, IHES

时间：2023年3月2日（周四）16:30-17:30

Zoom meeting invitation - Zhe Sun的Zoom会议

https://us06web.zoom.us/j/8784574760

会议号：878 457 4760

摘要：Gromov hyperbolic groups is a rich class of finitely presented groups introduced by Gromov in the 80s, capturing the coarse geometric properties of fundamental groups of closed negatively curved Riemannian manifolds. While there are certain classes of hyperbolic groups which can be realized as discrete subgroups of some general linear group over C (e.g. Anosov groups), there are no known linear examples which fail to admit discrete faithful complex representations. In this talk, we are going to provide constructions of linear hyperbolic groups which fail to admit discrete faithful representation into any semisimple Lie group of rank 1 or in products of rank 1 Lie groups. These are joint works independently with Sami Douba and Nicolas Tholozan.