Workshop on

Discrepancy Theory and Related Areas


June 18-22, 2007                     Villa Cipressi, Varenna, Italy



Program

Monday
9.00 - 9.50
Registration
9.50 - 10.00
Welcome
10.00 - 11.00
Jozsef Beck
Discrepancy and Games

11.00 - 11.30
Coffee Break
11.30 - 12.30
Friedrich Pillichshammer
Discrepancy of Shifted Hammersley and Van Der Corput  Point Sets


14.30 - 15.30
Leonardo Colzani
Convergence of eigenfunction expansions

15.40 - 16.00
Anatoly Podkorytov
The Fourier formula for discontinuous functions of several variables

16.00 - 16.30
Coffee Break
16.30 - 17.30
Michael Gnewuch
Approximation of the discrepancy of a given set

17.40 - 18.00
Thomas Stoll
The sum of digits of primes in 
$\QTR{Bbb}{Z}[i]$


Tuesday
9.00 - 10.00
Michael Lacey
On the $L^{\infty }$ norm of the Discrepancy Function, I

10.10 - 11.10
Dmitriy Bilyk
On the $L^{\infty }$ norm of the Discrepancy Function, II
11.10 - 11.40
Coffee Break
11.40 - 12.40
Benjamin Doerr
News from the Propp machine


14.30 - 15.30
Nils Hebbinghaus
Discrepancy of Arithmetic Progressions
15.40 - 16.00
Armen Vagharshakyan
A Lower Bound for the $L^{1}$ Norm of the Discrepancy Function in Three Dimensions

16.00 - 16.30
Coffee Break
16.30 - 16.50
Peter Kritzer
Point Sets with Small Star Discrepancy: Some Remarks on the Existence and Constructions

17.00 - 17.20
Giancarlo Travaglini
Discrepancy vs. Discrepancy
17.30 - 17.50
Raffaello Seri
Diaphonies on Sobolev classes of functions



Wednesday
9.00 - 10.00
Maxim Skriganov
Applications of Harmonic Analysis to the Discrepancy Theory
10.10 - 11.10
Giacomo Gigante
Multi-Dimensional Trigonometric Approximation and Irregularities of Point Distribution
11.10 - 11.40
Coffee Break
11.40 - 12.40
Sergey Konyagin
Good distribution of the values of a sparse polynomials modulo a prime


Excursion

Thursday
9.00 - 10.00
Nati Linial
Spectral gaps, expansion and discrepancy

10.10 - 11.10
Erich Novak
Low discrepancy points with respect to a densit
y
11.10 - 11.40
Coffee Break
11.40 - 12.40
Henryk Wozniakowski
Discrepancy and Tractability


14.30 - 15.30
Jiri Matousek
Graph coloring with no large monochromatic components
15.40 - 16.00
Adi Shraibman
Rigid Colorings for Combinatorial Rectangles

16.00 - 16.30
Coffee Break
16.30 - 17.30
Shahar Mendelson
Discrepancy, Chaining and Subgaussian Processes

17.40 - 18.00
Jan Vybiral
Approximation widths of embeddings of function spaces


Friday
9.00 - 10.00
Aicke Hinrichs
Lower bounds for weighted and unweighted star discrepancy
10.10 - 11.10
Josef Dick
Randomised point sets with optimal $L^{2}$ discrepancy
11.10 - 11.40
Coffee Break
11.40 - 12.40
Igor Shparlinski
Distribution of Points on Modular Hyperbolas


14.30 - 15.30
Grzegorz Wasilkowski
Randomly-shifted lattice rules for unbounded integrands
15.40 - 16.40
Misha Rudnev
Erdos distance and related problems in vector spaces over finite fields