02.07.2025, 9:15 - 10:15 Uhr
– 2.09.0.17
Forschungsseminar: Gruppen und Operatoralgebren
Surjunctive Groups
Rico Linke
Hemanth Saratchandran (Universität Augsburg)
The study of hyperbolic knot complements has a long history leading to many exciting results in the field of 3-manifold topology. In this talk, I will present a 4-dimensional analogue of this study. Namely, I will consider when a closed smooth simply connected 4-manifold can contain a collection of 2-tori, whose complement can admit a complete finite volume hyperbolic structure. I will start by presenting some necessary conditions, based on a classification theorem of S. Donaldson and M. Freedman, and then move on to outline how one can try to build such complements.