English

Dynamics and Rigidity through the Lens of Circles

Dynamical Systems 2026-04-14 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.2510.10771,
  title  = {Dynamics and Rigidity through the Lens of Circles},
  author = {Hee Oh},
  journal= {arXiv preprint arXiv:2510.10771},
  year   = {2026}
}

Comments

To appear in the Proceedings of the ICM 2026, 33 pages, 24 figures