On non-conical limit points of Kleinian groups

Géométrie Dynamique

Salle Duhem M3
Michael Kapovich
UC Davis
Vendredi, 1 Juin, 2018 - 10:00 - 11:00

For the purpose of this talk, a Kleinian group is a discrete group of isometries of a negatively curved symmetric space. I will prove that every  geometrically infinite Kleinian group has a continuum of nonconical limit points.
(This result simplifies the Beardon-Maskit criterion for geometric finiteness of Kleinian groups, allowing one to drop the boundedness condition for parabolic fixed points.) The same holds for discrete isometry groups of negatively pinched Hadamard manifolds, provided they have bounded torsion. This is a joint work with my student, Beibei Liu.