CR-Geometry and PDE’s
Satellite Conference to the ICM-2006
September 3-8, 2006
CR Geometry is a relatively young and nowadays intensively studied research area having interconnections with many other areas of mathematics and its applications.
It deals with restrictions and boundary values of holomorphic functions (CR functions) and of holomorphic mappings (CR mappings) to real submanifolds. A phenomenon arising in dimension higher than one is the rich intrinsic structure that leads to the existence of real submanifolds of different non-equivalent types.
The systems of tangential Cauchy-Riemann equations for functions and mappings present important examples of systems of partial differential equations. A celebrated example of a system of this kind due to Hans Lewy played a crucial role in the development of the solvability theory for more general classes of PDEs.
CR Geometry and Partial Differential Equations present a field of interaction with a wide range of mathematical areas such as Real and Complex Symplectic Geometry, Differential Geometry, Complex Dynamics, Jet Theory, Microlocal Analysis. This makes them to be one of the most advanced and actual streams in the mathematical research.
The aim of the conference is to bring together both active senior researchers and young mathematicians with interest in CR Geometry and Partial Differential Equations and to foster exchange of ideas and interaction between these fields.