MPIM

Limit sets of divergent sequences of Schottky groupsMPIM

by Gilles Courtois (CNRS, University of Sorbonne)

Europe/Berlin
MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Seminar Room

Max Planck Institute for Mathematics

20
Description

Oberseminar Differentialgeometrie

For a divergent sequence of Schottky groups in the hyperbolic space $H^N$, the Hausdorff dimension of their limit sets tends to 0. By embedding these groups into the group of isometries of infinite-dimensional hyperbolic space, we determine the rate of convergence. (Joint work with Antonin Guilloux).