Cannon-Thurston maps. (English) Zbl 1447.57027
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 885-917 (2018).
Summary: We give an overview of the theory of Cannon-Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic subgroups of hyperbolic groups and end with some open questions.
For the entire collection see [Zbl 1437.00044].
For the entire collection see [Zbl 1437.00044].
MSC:
| 57M50 | General geometric structures on low-dimensional manifolds |
| 30F40 | Kleinian groups (aspects of compact Riemann surfaces and uniformization) |
| 20F65 | Geometric group theory |
| 20F67 | Hyperbolic groups and nonpositively curved groups |
| 57-02 | Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes |
