Analysis Seminar

I will talk about some recent joint work with Carlos Kenig on a certain type of uniqueness property for solutions of nonlinear Schrödinger equations on $R^d\times R$.

We will describe a result which extends the classical Coifman-Meyer theorem to the multi-parameter setting of polydiscs. This is based on work recently completed jointly with Jill Pipher, Terry Tao and Christoph Thiele.

In joint work with J. Viaclovsky, we studied the problem of prescribing symmetric functions of the eigenvalues of the Schouten tensor for a conformal metric on a compact manifold (often referred to as the "Sigma-k Yamabe problem"). This is...

In a joint work with Bob Kohn, we give a new control-type interpretation on the level-set approach to motion by curvature and related interface motion laws. More precisely, we give a family of discrete-time, two-person games whose value functions...

We will discuss a new construction of space-times in the title with $\Lambda > 0$ or $\Lambda = 0$ based on solving the Cauchy problem for a conformally invariant system of equations formed from the Fefferman-Graham (ambient obstruction) tensor.