Analysis and non-linear PDE's
The main emphasis was on recent developments in non-linear PDE's and the related analysis. This includes themes such as dispersive Hamiltonian equations with critical nonlinearity, the structure of singularity formations for NLS and generalized KDV type equations, Strichartz theory with nonsmooth variable coefficients, aspects of Ginzburg-Landau theory. Over the recent years, there have been a number of significant advances on these various topics, often involving a considerable analytical technology.
The aim of the program was to review these new results and methods and explained part of it to junior and less expert researchers.
Carlos Kenig was the Distinguished Visiting Professor and in residence for the year.