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Oscillatory Integrals and Dispersive Equations

March 19 - 23, 2001

Schedule and Presentations

Pictures

Organizing Committee:

Michael Christ (University of California at Berkeley)
Sergiu Klainerman (Princeton University)
Eitan Tadmor (UCLA / University of Maryland)
Terence Tao (UCLA)

Participants

Introduction

This conference is intended to disseminate recent progress and envision future directions in the closely related fields of oscillatory integrals and non-linear dispersive and wave equations.

Mini-courses aimed at advanced graduate students will provide background and will reflect current problems of interest in these fields.

The program will take place at the Institute for Pure and Applied Mathematics (IPAM), a new NSF mathematical sciences research institute located on the UCLA campus, and is open to all interested mathematicians.

Mini Courses (March 19 - 23)

  • Michael Christ (UC Berkeley), "One Dimensional Shrödinger Operators with Slowly Decaying Potentials"

  • Sergiu Klainerman (Princeton)

  • Terence Tao, UCLA

Speakers

Tony Carbery (University of Edinburgh)
Jean-Yves Chemin (University of Paris 6)
Michael Christ (University of California at Berkeley)
Jim Colliander (University of California)
Tim Gowers (Cambridge University)
Nets Katz (Washington University)
Carlos Kenig (University of Chicago)
Sergiu Klainerman (Princeton University)
Frank Merle (U. de Cergy and I.U.F.)
Kenji Nakanishi (Kobe University)
Konstantin Oskolkov (University of South Carolina)
Duong Phong (Columbia University)
Wilhelm Schlag (Princeton University)
Andreas Seeger (University of Wisconsin)
Barry Simon (California Institute of Technology)
Hart Smith (University of Washington)
Chris Sogge (Johns Hopkins University)
Terence Tao (UCLA)
Daniel Tataru (Northwestern University)

Scientific Content

The conference will be focused on

  • Estimates for singular and oscillatory integrals, and maximal functions
  • Estimates for solutions to the wave and Schrödinger equations (e.g. null form estimates)
  • Local and global well-posedness and scattering for NLS, wave, and KdV equations
  • Eigenfunctions and spectral theory for Schrödinger operators
  • Generalizations of and interconnections between the above topics.

Funding

An additional funding of this program is provided by 

  • A grant from the David and Lucille Packard foundation www.packard.org
  • UCLA Mathematics Department
  • Southern CA Analysis and PDE

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: OIDE2001
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/oide2001/

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