Amenability of covers through critical exponents

Abstract: Let M be a negatively curved manifold. If M is “strongly positively recurrent”, i.e. there is a critical gap between its entropy at infinity and its entropy, we show that a cover M' of M is amenable if and only if the critical exponents of M' and M coincide. The proof uses a construction of Patterson-Sullivan measures twisted by a representation. This is a joint work with R. Dougall, R. Coulon and S.Tapie.

differential geometry

Audience: researchers in the topic

Pangolin seminar

Series comments: TIME HAS CHANGED: 15:30 Paris 10:30AM Rio de Janeiro

Description: Differential geometry seminar

Zoom link posted on the webpage 15 minutes before each lecture: https://sites.google.com/view/pangolin-seminar/home