September 02, 2003
NSF/CBMS in Analysis At Georgia Tech May 2004
NSF/CBMS Regional Conference in the Mathematical Sciences
Wave packets, Multilinear Operators
and Carleson Theorems
May 23 - May 28, 2004
Principle speaker: Christoph Thiele.
Organizers: Michael Lacey and Gerd Mockenhaupt.
Conference Web Site
Posted by lacey at September 2, 2003 05:56 PM
Objectives
The subject area is in the area of multilinear singular integrals,
and some related maximal operators, with a particular emphasis on those
with some invariance properties with respect to modulations.
This is a new branch of Harmonic Analysis that has arisen within the last
decade.A distinguishing feature of this area is the use of wave packet
techniques which have roots going back to seminal work on convergence
of Fourier series by L. Carleson, and C. Fefferman about 40
years ago. Yet the use of these techniques was hardly felt outside the
subject of convergence of Fourier series until 1995. It was then that
M. Lacey and C. Thiele used related techniques to a long standing
conjecture of A. Calderon concerning the bilinear
Hilbert transform.It is now understood, through the efforts of a sizable number of
mathematicans, that these techniques are crucial to the study a wide
class of multilinear singular integral and maximal operators. The timing
of these lectures occurs when there is already a body of sophisticated
results, from which are emerging signs of a beautiful theory.
Connections to other fields of mathematics are at the horizon.Professor Thiele's will present this recent development in a series of
lectures and there will be a few additional lectures by leading researchers
in the subject.