Frédéric Paulin: The ergodic theory of the strong unstable foliation in negative curvature with potential

Given a Hölder potential F:T¹M → ℝ on a negatively curved Riemannian manifold M, we classify, without any compactness assumption, the nonwandering locally finite transverse measures on the strong unstable foliation of T¹M for the geodesic flow that are quasi-invariant under holonomy with cocycle associated to F. This generalizes work of Furstenberg, Dani, Smillie, Burger, Ratner, Roblin when F = 0. The talk will mostly be an introduction to geometry and dynamics in negative curvature, with equidistribution and subexponentiel growth properties of weighted strong unstable leaves. This is a joint work with M. Pollicott and B. Schapira.