Title:Yamabe problem for asymptotically hyperbolic geometries
Abstract: Given a Riemannian manifold, the Yamabe problem seeks
to find a metric of constant scalar curvature conformally equivalent
to the original metric. For compact manifolds, the problem presents an
interesting combination of geometric and analysis challenges. In the
asymptotically hyperbolic setting, there are additional challenges
associated to the regularity of the conformal boundary. In this talk I
explain the nature of these challenges, review existing results, and
discuss work that is presently underway.