Oscillatory Integrals and Dispersive Equations

March 19 - 23, 2001

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 19, 2001

Morning Session

Chairperson: Christoph Thiele
8:30 - 9:00 Registration
9:00 - 9:10
Eitan Tadmor (UCLA / University of Maryland)

Introduction

9:10 - 10:00
10:00 - 11:00
Michael Christ (University of California at Berkeley)

One Dimensional Schrödinger Operators with Slowly Decaying Potentials
PDF Presentation
11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (on your own)

Afternoon Session

Chairperson: Terry Tao
2:00 - 3:00
Barry Simon (California Institute of Technology)

Stability of Spectral Types under Short Range Perturbations

3:00 - 4:00
Duong Phong (Columbia University)

Symplectic Forms in the Theory of Solitons

4:00 - 4:30 Break
4:30 - 5:30 Dinner (Hosted by IPAM)

Tuesday, March 20, 2001

Morning Session

Chairperson: Christoph Thiele
9:00 - 10:00
10:00 - 11:00
Michael Christ (University of California at Berkeley)

One Dimensional Schrödinger Operators with Slowly Decaying Potentials
PDF Presentation
11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (on your own)

Afternoon Session

Chairperson: Terry Tao
2:00 - 3:00
3:00 - 4:00
Frank Merle (U. de Cergy and I.U.F.)

On Existence and Description of Blow-Up for Critical KdV Equations

4:00 - 4:30 Break
4:30 - 5:30

Wednesday, March 21, 2001

Morning Session

Chairperson: John Garnett
9:00 - 10:00
Nets Katz (Washington University)

New estimates for Kakeya maximal operators

10:00 - 11:00
Michael Christ (University of California at Berkeley)

One Dimensional Schrödinger Operators with Slowly Decaying Potentials
PDF Presentation
11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (on your own)

Afternoon Session

Chairperson: John Garnett
2:00 - 3:00
Tim Gowers (Cambridge University)

An Analytic Approach to Szeméredi's theorem

3:00 - 3:15 Break
3:15 - 7:00 Trip to Santa Monica Promenade

Thursday, March 22, 2001

Morning Session

Chairperson: Terry Tao
9:00 - 10:00
10:00 - 11:00
Konstantin Oskolkov (University of South Carolina)

Oscillatory Hilbert Transforms with Polynomials Phase and Their Applications to Schrödinger Type Equations

11:00 - 11:30 Break
11:30 - 12:30
12:30 - 2:00 Lunch (Hosted by IPAM)

Afternoon Session

Chairperson: Mark Keel
2:00 - 3:00
Jean-Yves Chemin (University of Paris 6)

Bilinear estimates and Cubic quasilinear wave equation

3:00 - 4:00
Tony Carbery (University of Edinburgh)

Around the Triple Norm Problem

4:00 - 4:30 Break
4:30 - 5:30
Chris Sogge (Johns Hopkins University)

Riemannian Manifolds with Maximal Eigenfunction Growth


Friday, March 23, 2001

Morning Session

Chairperson: Mark Keel
9:00 - 10:00
Jim Colliander (University of California)

Almost Conservation Laws and Global Well-Posedness for KdV

10:00 - 11:00
Carlos Kenig (University of Chicago)

Boundary Value Problems for the Generalized KdV Equations

11:00 - 11:30 Break
11:30 - 12:30
Daniel Tataru (Northwestern University)

The Nonlinear Wave Equation

12:30 - 2:00 Lunch (on your own)