Oscillatory Integrals and Dispersive Equations - IPAM

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
08:30-09:00
Registration
09:00-09:10
Eitan Tadmor (UCLA / University of Maryland)
Introduction
09:10-10:00
Terence Tao (University of California, Los Angeles (UCLA))
Recent Developments on the Kakeya and Restriction Problems
10:00-11:00
Michael Christ (University of California, Berkeley (UC Berkeley))
One Dimensional Schrödinger Operators with Slowly Decaying Potentials
11:00-11:30
Break
11:30-12:30
Sergiu Klainerman (Princeton University)
Geometric and Fourier Analysis Methods in Nonlinear Wave Equations

Afternoon Session

12:30-14:00
Lunch (on your own)
Chairperson: Terry Tao
14:00-15:00
Barry Simon (California Institute of Technology)
Stability of Spectral Types under Short Range Perturbations
15:00-16:00
Duong Phong (Columbia University)
Symplectic Forms in the Theory of Solitons
16:00-16:30
Break
16:30-17:30
Dinner (Hosted by IPAM)

Tuesday, March 20, 2001

Morning Session

Chairperson: Christoph Thiele
09:00-10:00
Terence Tao (University of California, Los Angeles (UCLA))
Recent Developments on the Kakeya and Restriction Problems
10:00-11:00
Michael Christ (University of California, Berkeley (UC Berkeley))
One Dimensional Schrödinger Operators with Slowly Decaying Potentials
11:00-11:30
Break
11:30-12:30
Sergiu Klainerman (Princeton University)
Geometric and Fourier Analysis Methods in Nonlinear Wave Equations

Afternoon Session

12:30-14:00
Lunch (on your own)
Chairperson: Terry Tao
14:00-15:00
Hart Smith (University of Washington)
Global Existence for Quasilinear Wave Equations Outside of Star-Shaped Domains
15:00-16:00
Frank Merle (U. de Cergy and I.U.F.)
On Existence and Description of Blow-Up for Critical KdV Equations
16:00-16:30
Break
16:30-17:30
Andreas Seeger (University of Wisconsin-Madison)
Mean Square Discrepancy Bounds for the Number of Lattice Points in Large Convex Sets

Wednesday, March 21, 2001

Morning Session

Chairperson: John Garnett
09:00-10:00
Nets Katz (Indiana University)
New estimates for Kakeya maximal operators
10:00-11:00
Michael Christ (University of California, Berkeley (UC Berkeley))
One Dimensional Schrödinger Operators with Slowly Decaying Potentials
11:00-11:30
Break
11:30-12:30
Sergiu Klainerman (Princeton University)
Geometric and Fourier Analysis Methods in Nonlinear Wave Equations

Afternoon Session

12:30-14:00
Lunch (on your own)
Chairperson: John Garnett
14:00-15:00
Tim Gowers (College de France)
An Analytic Approach to Szeméredi's theorem
15:00-15:15
Break
15:15-19:00
Trip to Santa Monica Promenade

Thursday, March 22, 2001

Morning Session

Chairperson: Terry Tao
09:00-10:00
Kenji Nakanishi (Kobe University)
Approximation of Nonlinear Klein-Grodon Equation via Coupled Nonlinear Schrödinger Equations
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
Wilhelm Schlag (Princeton University)
On Quasi-Periodic Schrödinger Equations on the Two-Dimensional Lattice

Afternoon Session

12:30-14:00
Lunch (Hosted by IPAM)
Chairperson: Mark Keel
14:00-15:00
Jean-Yves Chemin (University of Paris 6)
Bilinear estimates and Cubic quasilinear wave equation
15:00-16:00
Tony Carbery (University of Edinburgh)
Around the Triple Norm Problem
16:00-16:30
Break
16:30-17:30
Chris Sogge (Johns Hopkins University)
Riemannian Manifolds with Maximal Eigenfunction Growth
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