Research-Asymptotic counting of surfaces in negatively curved three manifolds

Research

Dynamical Systems Seminar

Asymptotic counting of surfaces in negatively curved three manifolds

Speaker: Sébastien Alvarez(‌Universidad de la República)
Time: Nov 20, 2025, 10:30-11:30
Location: Room M3009, College of Science Building

Abstract

In this talk, we present a two dimensional analogue of the geodesic flow, namely the space of surfaces of constant curvature inside a closed negatively curved 3-manifold. The dynamical properties of this space are described in terms of actions of PSL(2,R) and the equidistribution properties allow to study the geometric rigidity associated to the counting of such surfaces according to their area. This is joint work with Graham Smith (PUC Rio de Janeiro) and Ben Lowe (University of Chicago).