Dynamics and Rigidity through the Lens of Circles
arXiv:2510.10771
Abstract
We report on recent developments in the dynamics and rigidity of infinite-volume homogeneous spaces, viewed through the lens of circles. By addressing four natural questions about circle packings, we highlight the interplay between dynamics, geometry, and rigidity that defines the emerging frontier of homogeneous dynamics.
To appear in the Proceedings of the ICM 2026, 33 pages, 24 figures