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Outline of Scientific Activities
We will survey a broad spectrum of current research in harmonic
analysis and explore the myriad connections to areas such as number
theory, combinatorics, ergodic theory, and operator theory. Researchers
in these areas will have an opportunity to meet, exchange ideas,
and investigate new directions in a research-intensive environment.
Specific areas of concentration will include:
Classical Harmonic Analysis:
Kakeya, restriction and Bochner-Riesz conjectures, Radon transforms,
multilinear operators, topics in wave equations, discrete analogs
of continuous objects, Fourier-analytic methods in metric geometry
and geometric measure theory.
Operator Theory and Function Theory:
Fourier frames, interpolation, sampling, and signal processing;
Carleson measures for Dirichlet spaces, Hankel operators and the
Nehari problem in several complex variables.
Arithmetic Combinatorics:
Additive number theory, including topics related to Szemeredi's
theorem on arithmetic progressions and Freiman's theorem, combinatorial
methods in analytic number theory, ergodic Ramsey theory, sum-product
problems, distance sets in combinatorics and analysis, the arithmetic
approach to the Kakeya conjecture.
The program activities will include thematic workshops, advanced
graduate courses, research and working seminars. We will also host
a number of long-term and short-term participants. We particularly
encourage graduate students and postdoctoral fellows to attend.
Coxeter Lecture Series
February 25-27, 2008
Jill Pipher,
Brown University
|
Distinguished Lecture Series
April 9,10,11, 2008 -- 3:30:p.m.
Tim Gowers, University
of Cambridge
|
Conferences and workshops
January 7-11, 2008
Workshop on Recent Advances in Operator
Theory and Function Theory
Organizers: Michael Lacey (Georgia Tech), Eric Sawyer (McMaster),
Kristian Seip (NTNU)
February 19 - 23, 2008
Workshop on Harmonic Analysis
Organizers: Alex Iosevich (Missouri-Columbia), Malabika Pramanik
(UBC)
April 5-13, 2008
Clay-Fields Conference on Additive
Combinatorics, Number Theory, and Harmonic Analysis
Co-organized by the Clay Mathematics Institute.
Organizers: David Ellwood (CMI), Andrew Granville (Montreal),
Bryna Kra (Northwestern), Izabella Laba (UBC), Trevor Wooley (Michigan)
Function and Operator Theory, Eric Sawyer (McMaster)
Tuesdays 10:10 - 12:00, Thursdays 10:10 - 12:00
Analytic Number Theory, John Friedlander (Toronto)
Mondays 1:10 - 4:00 p.m., Wednesdays 11:10 - 12.00 p.m.
Short-term visitors will be invited to speak in a weekly
research seminar. There will also be a working seminar, open to
all but directed mainly at the graduate students and postdoctoral
fellows in attendance, providing an opportunity for them to present
research papers and discuss research topics of current interest.
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding
are requested to apply by filling out the application
form. Additional support is available (pending NSF funding)
to support junior US visitors to this program. Fields scientific
programs are devoted to research in the mathematical sciences,
and enhanced graduate and post-doctoral training opportunities.
Part of the mandate of the Institute is to broaden and enlarge
the community, and to encourage the participation of women and
members of visible minority groups in our scientific programs.
For additional information contact harmonic@fields.utoronto.ca
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