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Oscillatory Integrals and Dispersive Equations

March 19 - 23, 2001

IPAM Building
Room 1200

Printable Version

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

Terence Tao (UCLA)

"Recent Developments on the Kakeya and Restriction Problems"
Presentation (PDF File)

10:00 - 11:00

Michael Christ (University of California at Berkeley)

"One Dimensional Schrödinger Operators with Slowly Decaying Potentials"
Presentation (PDF File)

11:00 - 11:30 Break
11:30 - 12:30

Sergiu Klainerman (Princeton University)

"Geometric and Fourier Analysis Methods in Nonlinear Wave Equations"
Presentation (PDF File)

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"
In memory of Tom Woolf

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

Terence Tao (UCLA)

"Recent Developments on the Kakeya and Restriction Problems"
Presentation (PDF File)

10:00 - 11:00

Michael Christ (University of California at Berkeley)

"One Dimensional Schrödinger Operators with Slowly Decaying Potentials"
Presentation (PDF File)

11:00 - 11:30 Break
11:30 - 12:30

Sergiu Klainerman (Princeton University)

"Geometric and Fourier Analysis Methods in Nonlinear Wave Equations"
Presentation (PDF File)

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

Afternoon Session

Chairperson: Terry Tao

2:00 - 3:00

Hart Smith (University of Washington)

"Global Existence for Quasilinear Wave Equations Outside of Star-Shaped Domains"

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

Andreas Seeger (University of Wisconsin)

"Mean Square Discrepancy Bounds for the Number of Lattice Points in Large Convex Sets"


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"
Presentation (PDF File)

11:00 - 11:30 Break
11:30 - 12:30

Sergiu Klainerman (Princeton University)

"Geometric and Fourier Analysis Methods in Nonlinear Wave Equations"
Presentation (PDF File)

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

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"

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)

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