The Department of Mathematics at the University of Chicago will host on September 17-19 2004 an international conference in Harmonic Analysis and Partial Differential Equations. The purpose of the meeting is threefold. First, the organizers intend to bring together leading researchers in the field of Harmonic Analysis and its applications to PDE. Second they expect to survey some of the remarkable and exciting new developments in the interaction between these two fields. Third they wish to honor Prof. Carlos Kenig in the occasion of his 50th birthday by recognizing his contributions to this domain both from a mathematical and a human standpoint.

The conference will focus on harmonic analysis techniques applied to differential equations with emphasis in recent developments in non-linear PDEs and free boundary regularity problems. This includes themes such as dispersive Hamiltonian equations with critical non-linearity, the structure of singularity formations for higher order NLS and generalized KdV type equations, unique continuation properties for solutions to PDEs, and free boundary regularity problems for elliptic and parabolic equations. All of them have been shaped by Kenig's fundamental contributions.