MGA Workshop V: Math Analysis and Multiscale Geometric Analysis - IPAM

MGA Workshop V: Math Analysis and Multiscale Geometric Analysis

Part of the Long Program Multiscale Geometry and Analysis in High Dimensions
November 15 - 19, 2004

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, November 15, 2004

Morning Session

08:30-09:15
Check-In/Light Breakfast (Hosted by IPAM)
09:15-9:30
Welcome and Opening Remarks
09:30-10:30
Michael Christ (University of California, Berkeley (UC Berkeley))
On multilinear oscillatory integral operators
10:30-11:00
Break
11:00-12:00
Jim Colliander (University of Toronto)
Concentration properties of rough NLS blowup solutions

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Terence Tao (University of California, Los Angeles (UCLA))
Geometric renormalization of wave maps
15:00-15:30
Break
15:30-16:30
Christoph Thiele (University of California, Los Angeles (UCLA))
Topics in Multiscale Analysis
16:30-16:45
Break
16:45-17:45
Hart Smith (University of Washington)
L^p bounds for spectral clusters on planar domains
17:45-19:15
Wine/Cheese Reception (Hosted by IPAM)

Tuesday, November 16, 2004

Morning Session

08:30-09:30
Continental Breakfast
09:30-10:30
Tatiana Toro (University of Washington)
A generalization of Reifenberg's theorem in $R^3$
10:30-11:00
Break
11:00-12:00
Guy David (Université Paris-Sud 11)
About J. Taylor's regularity result, and minimal sets in R^3

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Assaf Naor (Microsoft Research)
The Lipschitz extension problem
15:00-15:30
Break
15:30-16:30
Pertti Mattila (University of Helsinki)
Lipschitz parametrizations and Menger curvature in metric spaces
16:30-16:45
Break
16:45-17:45
Herve Pajot (Université de Grenoble)
The geometric traveling salesman theorem in the Heisenberg group

Wednesday, November 17, 2004

Morning Session

08:30-09:30
Continental Breakfast
09:30-10:30
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 (Stanford University)
How many measurements do we need to reconstruct a digital object to within fixed accuracy?

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
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.)
15:00-15:30
Break
15:30-16:30
Nets Katz (Indiana University)
An example in two dimensional fluid flow
16:30-16:45
Break
16:45-17:45
Steven Hofmann (University of Missouri)
Carleson measures and elliptic operators
17:45-19:15
Dinner (Hosted by IPAM)

Thursday, November 18, 2004

Morning Session

08:30-09:30
Continental Breakfast
09:30-10:30
Mauro Maggioni (Johns Hopkins University)
Diffusion Wavelets and Applications
10:30-11:00
Break
11:00-12:00
Jean-Luc Starck (Commissariat à l'Énergie Atomique (CEA))
Cosmology and Multiscale Geometric Analysis

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Michael Lacey (Georgia Institute of Technology)
Hilbert Transform on smooth families of lines
15:00-15:30
Break
15:30-16:30
Camil Muscalu (Cornell University)
On a trilogy of paraproducts

Friday, November 19, 2004

Morning Session

08:30-09:30
Continental Breakfast
09:30-10:30
John Garnett (University of California, Los Angeles (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

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Peter Jones (Yale University)
Random Homeomorphisms in Analysis
15:00-15:30
Break
15:30-16:30
Raanan Schul (University of California, Los Angeles (UCLA))
Subsets of Rectifiable curves in Hilbert Space and the Analyst's TSP
16:30-16:45
Break
16:45-17:45
Alexander Volberg (MSU)
Weakly quasiregular maps, martingale transforms, and french beds
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