Limit Sets of Divergent Sequences of Schottky Groups

par Antonin Guilloux (IMJ-PRG)

lundi 4 nov. 2024, 16:00 → 17:15 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

For divergent sequences of Schottky groups of the N-dimensional hyperbolic space H^N, the Hausdorff dimension of the limit sets typically goes to zero. By considering actions of these groups on the infinite-dimensional hyperbolic space, we give an asymptotic for this convergence.

This is joint work with Gilles Courtois. It is partly inspired by recent work of Dang-Mehmeti. If time permits, I will compare the two approaches.