Atelier en combinatoire additive
Workshop on Additive Combinatorics

6-12 avril 2006
April 6-12, 2006

École CRM-Clay en combinatoire additive
CRM-Clay School on Additive Combinatorics »»
30 mars - 5 avril 2006
March 30 - April 5, 2006

PROGRAMME

Atelier en combinatoire additive
Workshop on Additive Combinatorics

Jeudi 6 avril / Thursday, April 6, 2006

Lieu / Venue
08:30 - 09:30
Inscription et café - Registration and Coffee (Salle/Room M-415, Pavillon Roger-Gaudry, no. 14 sur la carte du campus/on campus map)
09:30 - 09:45
Mot de bienvenue / Welcoming Remarks

09:45 - 10:45

Terence Tao (UCLA)
An infinitary approach to (hyper)graph regularity and removal
10:45 - 11:15
Pause café / Coffee Break

11:15 - 12:00

Harald Andres Helfgott (Université de Montréal)
Growth and generation in SL_2(Z/pZ)
Déjeuner / Lunch Déjeuner / Lunch
14:10 - 15:00
Jean Bourgain (Institute for Advanced Study)
Sum-product and expanders
15:00 - 15:20 Ronald Graham (UC San Diego)
Some of my favorite Ramsey theory problems
15:20 - 15:50
Pause café / Coffee Break
15:50 - 16:30 Alex Iosevich (University of Missouri)
Application of Fourier analysis to the Erdos distance problem
16:30 - 17:10 Ernie Croot (Georgia Institute of Technology)
Subsets of F_q with the minimal number of three-term arithmetic progressions
17:15 Réception de bienvenue / Welcoming Reception
(Salle / Room 6245, Pavillon Andre-Aisenstadt)

Vendredi 7 avril / Friday, April 7, 2006

Lieu / Venue
09:00 - 09:30
Café / Coffee (Salle / Room M-415, Pavillon Roger-Gaudry, no. 14 sur la carte du campus/on campus map)

09:30 - 10:15

Jean Bourgain (Institute for Advanced Study)
More applications of the sum-product theorem and the quantum cat map
10:15 - 10:45
Pause café / Coffee break
10:45 - 11:30
Tamar Ziegler (Institute for Advanced Studies)
Configurations in sets of positive upper density in R^m
11:30 - 12:10 Nikos Frantzikinakis (Institut for Advanced Study)
New examples of k-intersective sets

Déjeuner / Lunch

Déjeuner / Lunch
14:25 - 14:10
Bryna Kra (Northwestern University)
Gowers norms in ergodic theory and additive combinatorics
15:10 - 15:25 Vidhu Prasad - University of Massachusetts Lowel
Tiling Abelian groups with a single tile and its connection to the ergodic theory of infinite measure preserving transformations
15:25- 15:55
Pause café / Coffee Break
15:55 - 16:25 Javier Cilleruelo (Universidad Autónoma de Madrid)
Dense perfect difference sets of integers
16:25 - 16:45 Maria Roginskaya (Chalmers University of Technology)
Point spectra of partially power-bounded operators and shift-invariant metrics on T
16:45 - 17:10 David Conlon (University of Cambridge)
A New Inverse Theorem in $Z_p$
New Upper Bounds for Ramsey Numbers
17:15 Réception
(Salle / Room 6245, Pavillon André-Aisenstadt)

Samedi 8 avril / Saturday, April 8, 2006

Lieu / Venue
09:00 - 9:30
Café / Coffee (Salle/Room M-415, Pavillon Roger-Gaudry, no. 14 sur la carte du campus/on campus map)
09:30 - 10:15
Mei-Chu Chang (UC Riverside)
Sum-product theorems, exponential sum bounds and applications
10:15 - 10:45
Pause café / Coffee Break

10:45 - 11:30

Trevor Wooley (University of Michigan)
Variants of the Circle Method after the work of Gowers
11:30 - 12:00 Michael Lacey (Georgia Institute of Technology)
On an Argument of Shkredov on Two-Dimensional Corners
Déjeuner / Lunch
Déjeuner / Lunch
14:15 - 15:00
Sanju Velani (York University)
Transferring Mass in metric number theory
15:00 - 15:15 Melvyn Nathanson (CUNY)
Binary linear forms over finite sets of integers
15:15 - 15:45
Pause café / Coffee Break
15:45 - 16:10
Yonutz Stanchescu (The Open University of Israel)
On a Kakeya-type problem
16:10 - 16:35 Akos Magyar (University of Georgia)
k-point configurations in sets of positive density of $\Z^n$
16:35 - 16:55 Christian Elsholtz (Royal Holloway, University of London)
Multidimensional Zero-sum problems
16:55 - 17:15 Laurent Habsieger (CNRS, Universite Claude Bernard Lyon 1)
On integers of the forms p+2^k

Dimanche 9 avril / Sunday, April 9, 2006

Lieu / Venue
JOURNÉE LIBRE / NO ACTIVITIES

Lundi 10 avril / Friday, April 10, 2006

Lieu / Venue
09:00 - 9:30
Café / Coffee (Salle/Room M-415, Pavillon Roger-Gaudry, no. 14 sur la carte du campus/on campus map)

09:30 - 10:15

Ilya Shkredov (Moscow State University)
On sets of large exponential sums
10:15 - 10:45
Pause café / Coffee Break

10:45 - 11:40

Timothy Gowers (University of Cambridge)
A uniform set with few progressions of length 4
11:40 - 12:05 David Conlon (University of Cambridge)
New Upper Bounds for Ramsey Numbers
Déjeuner / Lunch
Déjeuner / Lunch
14:15 - 15:00
Sergei Konyagin (Moscow State University
Additive properties of product sets in fields of prime Order
15:00 - 15:20 Jacob Fox (MIT)
Partition regularity of linear equations
15:20 - 15:50 Pause café / Coffee Break
15:50 - 16:20 Alexey Glibichuck (Moscow State University)
Combinational properties of residue sets modulo a prime and the Erdos-Graham problem
16:20 - 16:40 Daniel Berend (Ben-Gurion University)
Nilpotent Groups are Round
16:40 - 17:10 Jean-Marc Deshouillers (Université de Bordeaux)
Bases : structure

Mardi 11 avril / Tuesday, April 11, 2006

Lieu / Venue
09:00 - 9:30 Café / Coffee (Salle/Room M-415, Pavillon Roger-Gaudry, no. 14 sur la carte du campus/on campus map)
09:30 - 10:30 Ben Green (University of Bristol)
Linear equations in primes
10:30 - 11:00 Pause café / Coffee Break
11:00 - 11:40 Gyorgy Elekes (Eotvos University)
On the structure of sets with many 'medium--size' arithmetic progressions
11:40-12:10 Tom Sanders (Cambridge University)
Freiman's theorem in vector spaces over F_2
Déjeuner / Lunch Déjeuner / Lunch
14:15 - 15:00 Jaroslav Nesetril (DIMATIA Charles University Prague)
Ramsey classes of finite structure
15:00 - 15:30 Balazs Szegedy (University of Toronto)
Graph limits
15:25 - 16:00 Pause café / Coffee Break
16:00 - 17:00 Andre-Aisenstadt Lecture
Manjul Bhargava (Princeton)
The representation of integers by quadratic forms
17:15 Reception
(Salle / Room 6245, Pavillon André-Aisenstadt)

Mercredi 12 avril / Wednesday, April 12, 2006

Lieu / Venue
09:00 - 09:30 Café / Coffee (Salle/Room 1035, Pavillon J.-Armand-Bombardier, no. 13 on the campus map)
09:30 - 10:30 Imre Ruzsa (Alfréd Rényi Institute of Mathematics)
2A and 3A
10:30 - 11:00 Pause café / Coffee Break
11:00 - 11:15 Gautami Bhowmik (Université de Lille I)
Some bounds for the Davenport constants
11:15 - 12:00 Ram Murty (Queen's University)
The Lang-Trotter Conjecture
Déjeuner / Lunch Déjeuner / Lunch
14:15 - 14:40 Gyan Prakash (Harish-Chandra Research Institute)
Large sum-free sets in finite abelian groups
14:40 - 15:10 Koichi Kawada (Iwate University)
On Waring's problem for cubes of smooth numbers
15:10 - 15:40 Pause café / Coffee Break
15:40 - 16:20 Vsevolod F. Lev (University of Haifa at Oranim)
The rectifiability threshold in abelian groups
Fin de 'atelier End of workshop