You are here

  1. Home
  2. Dynamical Systems seminar - Geometric constraints on uniformly hyperbolic semigroups

Dynamical Systems seminar - Geometric constraints on uniformly hyperbolic semigroups

Dates
Wednesday, April 19, 2023 - 14:00 to 15:00

Speaker: Argyrios Christodoulou (Aristotle University of Thessaloniki)

Abstract: We consider semigroups of Mobius transformations that exhibit strong contracting properties on the boundary of the hyperbolic plane. These objects are called uniformly hyperbolic semigroups and appear naturally in the theory of hyperbolic dynamics. The aim of this talk is to present conditions on the generators of a semigroup that guarantee uniform hyperbolicity. These conditions are geometric in nature and are inspired by similar results on Fuchsian groups.