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MGA Workshop V: Math Analysis and Multiscale Geometric Analysis

November 15 - 19, 2004

IPAM Building
Room 1200

Printable Version

Monday, November 15, 2004

Morning Session

8:30 - 9:15 Check-In/Breakfast (Hosted by IPAM)
9:15 - 9:30 Welcome and Opening Remarks
9:30 - 10:30

Michael Christ (University of California at Berkeley)

"On multilinear oscillatory integral operators"
Presentation (PDF File)

10:30 - 11:00 Break
11:00 - 12:00

Jim Colliander (University of Toronto)

"Concentration properties of rough NLS blowup solutions"

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

Afternoon Session

2:00 - 3:00

Terence Tao (UCLA)

"Geometric renormalization of wave maps"

3:00 - 3:30 Break
3:30 - 4:30

Christoph Thiele (UCLA)

"Topics in Multiscale Analysis"

4:30 - 4:45 Break
4:45 - 5:45

Hart Smith (University of Washington)

"L^p bounds for spectral clusters on planar domains"
Presentation (PDF File)

5:45 - 7:15 Wine/Cheese Reception (Hosted by IPAM)

Tuesday, November 16, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Tatiana Toro (University of Washington)

"A generalization of Reifenberg's theorem in $R^3$"
Presentation (PDF File)

10:30 - 11:00 Break
11:00 - 12:00

Guy David (University of Paris Sud)

"About J. Taylor's regularity result, and minimal sets in R^3"
Presentation (PDF File)

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

Afternoon Session

2:00 - 3:00

Assaf Naor (Microsoft Research)

"The Lipschitz extension problem"

3:00 - 3:30 Break
3:30 - 4:30

Pertti Mattila (University of Helsinki)

"Lipschitz parametrizations and Menger curvature in metric spaces"

4:30 - 4:45 Break
4:45 - 5:45

Herve Pajot (Université de Grenoble)

"The geometric traveling salesman theorem in the Heisenberg group"


Wednesday, November 17, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Ingrid Daubechies (Princeton University)

"Independent Component Analysis for functional Magnetic resonance imaging, why it works even though it can’t possibly work."

10:30 - 11:00 Break
11:00 - 12:00

Emmanuel Candes (California Institute of Technology)

"How many measurements do we need to reconstruct a digital object to within fixed accuracy?"
Presentation (PDF File)

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

Afternoon Session

2:00 - 3:00

Tony Carbery (University of Edinburgh)

"A new perspective on the Brascamp-Lieb inequality and applications to Kakeya. (Joint work with J. Bennett and T. Tao.)"

3:00 - 3:30 Break
3:30 - 4:30

Nets Katz (Indiana University)

"An example in two dimensional fluid flow"

4:30 - 4:45 Break
4:45 - 5:45

Steven Hofmann (University of Missouri)

"Carleson measures and elliptic operators"

5:45 - 7:15 Dinner (Hosted by IPAM)

Thursday, November 18, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

Mauro Maggioni (Yale University)

"Diffusion Wavelets and Applications"
Presentation (PDF File)

10:30 - 11:00 Break
11:00 - 12:00

Jean-Luc Starck (CEA Saclay, France)

"Cosmology and Multiscale Geometric Analysis"
Presentation (PDF File)

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

Afternoon Session

2:00 - 3:00

Michael Lacey (Georgia Institute of Technology)

"Hilbert Transform on smooth families of lines"
Presentation (PDF File)

3:00 - 3:30 Break
3:30 - 4:30

Camil Muscalu (Cornell University)

"On a trilogy of paraproducts"


Friday, November 19, 2004

Morning Session

8:30 - 9:30 Continental Breakfast
9:30 - 10:30

John Garnett (UCLA)

"Analytic Capacity, Bilipschitz Maps, Cauchy Integrals, and Menger Curvature - a survey."

10:30 - 11:00 Break
11:00 - 12:00

Stephane Jaffard (University of Paris)

"Interactions between function spaces, multifractal analysis and geometry "
Presentation (PDF File)

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

Afternoon Session

2:00 - 3:00

Peter Jones (Yale University)

"Random Homeomorphisms in Analysis"

3:00 - 3:30 Break
3:30 - 4:30

Raanan Schul (Yale University)

"Subsets of Rectifiable curves in Hilbert Space and the Analyst's TSP"
Presentation (PDF File)

4:30 - 4:45 Break
4:45 - 5:45

Alexander Volberg (CCR-Jussieu France)

"Weakly quasiregular maps, martingale transforms, and french beds"

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