CR-Geometry and
PDE’s – VII
Dedicated to the memory of Giuseppe Zampieri
June 27-July 1, 2016
Levico Terme,
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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.