Workshop III: The Kakeya Problem, Restriction Problem, and Sum-product Theory - IPAM

Workshop III: The Kakeya Problem, Restriction Problem, and Sum-product Theory

Part of the Long Program Algebraic Techniques for Combinatorial and Computational Geometry
May 5 - 9, 2014

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 5, 2014

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Ana Vargas (Autonomous University of Madrid)
Restriction Theorems for Some surfaces of Finite Type
10:00-10:30
Break
10:30-11:20
Larry Guth (Massachusetts Institute of Technology)
From incidence geometry of lines towards incidence geometry of tubes.
10:30-11:20
Larry Guth (Massachusetts Institute of Technology)
From incidence geometry of lines towards incidence geometry of tubes.
10:30-11:20
Larry Guth (Massachusetts Institute of Technology)
From incidence geometry of lines towards incidence geometry of tubes.
11:30-01:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Michael Christ (University of California, Berkeley (UC Berkeley))
A Sharpened Hausdorff-Young Inequality
14:30-14:45
Break
14:45-15:35
Betsy Stovall (University of Wisconsin-Madison)
Uniform estimates for Fourier restriction to polynomial curves
15:45-16:00
Break
16:00-16:50
Tuomas Orponen (University of Edinburgh)
On restricted families of projections
17:00-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, May 6, 2014

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Ciprian Demeter (Indiana University)
Proof of the $l^2$ decoupling conjecture
09:00-09:50
Ciprian Demeter (Indiana University)
Proof of the $l^2$ decoupling conjecture
10:00-10:30
Break
10:30-11:20
Alexei Poltoratski (Texas A&M University - College Station)
Gaps and Oscillations in Fourier Analysis
11:30-01:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Terence Tao (University of California, Los Angeles (UCLA))
Stickiness, graininess, planiness, and a sum-product approach to the Kakeya problem
14:30-14:45
Break
14:45-15:35
Philip Gressman (University of Pennsylvania)
L^p-Improving Estimates and Restriction in Intermediate Dimensions
15:45-16:00
Break
16:00-16:50
Malabika Pramanik (University of British Columbia)
Lacunarity, Kakeya-type sets and directional maximal operators

Thursday, May 8, 2014

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Problem Session
10:00-10:30
Break
10:30-11:20
Richard Oberlin (Florida State University)
Unit Distance Problems
11:30-01:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Joshua Zahl (University of British Columbia)
Visibility and discretized projection theorems
14:30-14:45
Break
14:45-15:35
Sanghyuk Lee (Seoul National University)
Sharp square function estimates for the Bochner-Riesz means
15:45-16:00
Break
16:00-16:50
Jonathan Bennett (University of Birmingham)
Flow monotonicity and Strichartz inequalities

Friday, May 9, 2014

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Zeev Dvir (Princeton University)
Factors of sparse polynomials are sparse
10:00-10:30
Break
10:30-11:20
Michael Bateman (University of Cambridge)
Inverse 2D Kakeya theorems
10:30-11:20
Michael Bateman (University of Cambridge)
Inverse 2D Kakeya theorems
11:30-01:30
Lunch (on your own)

Afternoon Session

13:30-14:20
Pertti Mattila (University of Helsinki)
Projection and slicing theorems in Heisenberg groups
14:30-14:45
Break
14:45-15:35
Tony Carbery (University of Edinburgh)
Colouring multijoints
15:45-16:00
Break
16:00-16:50
Misha Rudnev (University of Bristol)
Some new sum-product inequalities, over C
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