Characterizations of Kleinian Groups

par Prof. Peter Haissinsky (Aix-Marseille Université)

lundi 3 févr. 2020, 14:30 → 15:45 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

In low dimension, it is expected that topological properties determine a natural geometry. In this spirit, several characterizations are conjectured for Kleinian groups, i.e. discrete subgroups of PSL(2,C). We will survey different methods that lead to their topological and dynamical characterizations, and point out their limits and the difficulties encountered in obtaining a complete answer.