Institute of Mathematics

Talk

Modul:   MAT760  Ergodic theory and dynamical systems seminar

Entropy at infinity and applications in negative curvature

Talk by Prof. Dr. Samuel Tapie

Speaker invited by: Prof. Dr. Corinna Ulcigrai

Date: 04.12.23  Time: 15.00 - 16.00  Room: Y27H25

In this talk, I will focus on some relationships between topology, analysis and geometry which are provided by studying the geodesic flow on non-compact manifolds with negative curvature. I will first recall some classical notions of entropy and then present entropies at infinity and entropy gap property. I will sketch various applications to counting closed orbits, Laplace spectrum and mixing properties of the geodesic flow.''