First annual conference of the EU network "Phenomena in High Dimensions"

Conference on Convex Geometry and High Dimensional Phenomena
July 20-27, 2005


Program

Wednesday, July 20

9:00-10:00 Registration 
10:00-10:15 Opening  
10:15-11:05 Semyon Alesker, Tel AvivTheory of valuations on manifolds
11:25-12:15 Bo'az Klartag, Tel AvivFrom isomorphic to almost-isometric problems in asymptotic convex geometry
12:15-14:00 Lunch break 
14:00-14:20Zoltán Füredi, Illinois and BudapestSets of few distances in highdimensional normed spaces
14:30-14:50Yoram Gordon, HaifaProbabilistic min-max theorems revisited and applications to geometry
15:00-15:20Rafal Latala, WarsawMoments and tail estimates for Gaussian chaoses
15:30-15:50Hendrik Vogt, DresdenCentral limit theorems in the W2k-norm for one-dimensional marginal distributions
16:00-16:30 Coffee break 
16:30-16:50Olivier Guédon, Paris Lp moments of random vectors via majorizing measure
17:00-17:20 Jesús Bastero, Zaragoza Upper estimates for the volume and the diameter of sections of symmetric convex bodies
17:30-17:50Julio Bernués, Zaragoza Averages of k-dimensional marginal densities
18:30 Welcome Reception 


Thursday, July 21

9:00-9:50 Leonid Pastur, Kharkiv Limiting Laws of Fluctuations of Linear Eigenvalue Statistics of Matrix Models
10:10-11:00 Stanislaw Szarek, Paris and Cleveland Tensor products of convex sets
11:00-11:30 Coffee break 
11:30-11:50Roman Vershynin, Davis, CASignal processing: geometric and probabilistic perspectives
12:00-12:30Mariya Shcherbina, KharkovDouble scaling limit for matrix models with non analytic potential
12:30-14:00 Lunch break 
14:00-14:20Paolo Salani, FirenzeA Brunn-Minkowski inequality for the Monge-Ampère eigenvalue
14:30-14:50Mark Meckes, StanfordThe central limit problem for random vectors with symmetries
15:00-15:20Elizabeth Meckes, StanfordNormal approximation under continuous symmetries
15:30-15:50Aicke Hinrichs, JenaOptimal geometric design of high dimensional cubature formulas
16:00-16:30 Coffee break 
16:30-16:50Katalin Marton, Budapest Logarithmic Sobolev inequality for weakly dependent spin systems
17:00-17:20 Irina Ryshkova, Kharkov Nonlinear oscillation of a plate in a potential gas flow in the presence of thermal effects
17:30-17:50A.S. Shcherbina, Kharkov Solutions of dissipative Zakharov system


Friday, July 22

9:00-9:50 Imre Bárány, Budapest and London Recent results on random polytopes
10:10-11:00 Rolf Schneider, Freiburg Limit shapes in random mosaics and isoperimetric inequalities
11:00-11:30 Coffee break 
11:30-11:50Alexander Koldobsky, Columbia, MOOn the road from intersection bodies to polar projection bodies
12:00-12:30Apostolos Giannoploulos, AthensAsymptotic formulas for proportional sections of convex bodies
12:30-14:00 Lunch break 
14:00-14:20Károly Böröczky, Jr., BudapestApproximation of smooth convex bodies by circumscribed polytopes with respect to the surface area
14:30-14:50Carla Peri, MilanoDiscrete tomography: Point X-rays of convex lattice sets
15:00-15:20Gabriele Bianchi, FirenzeThe covariogramm of 2-,3- and 4-dimensional convex polytopes
14:00-16:00Maria A. Hernandez CifreThe Steiner polynomial and a problem by Hadwiger
16:00-16:30 Coffee break 
16:30-16:50Károly Bezdek, Calgary and Budapest On the illumination parameters of smooth convex bodies
17:00-17:20Boris V. Dekster, New Brunswick The total angle around a point in Minkowski plane
17:30-17:50J.M. Aldaz, Rioja Behavior of the maximal function in high dimensions


Monday, July 25

9:00-9:50 Keith Ball, London and Redmond Markov type and the non-linear Maurey Extension Theorem
10:00-10:20Andrea Colesanti, FirenzeA functional inequality related to the Rogers-Shephard inequality
10:30-10:50Matthieu Fradelizi, Marne-la-Vallée On some functional forms of Santaló inequality
11:00-11:30 Coffee break 
11:30-11:50Grigoris Paouris, ParisConcentration of mass on the Schatten classes
12:00-12:20Nikos Markoulakis, Heraklion-1/1 ploytopes with many facets
12:30-14:00 Lunch break 
14:00-14:20Marina Yaskina, Columbia, MONon-intersection bodies all of whose central sections are intersection bodies
14:30-14:50Vladyslav Yaskin, Columbia, MOThe Busemann-Petty problem in hyperbolic and spherical spaces
15:00-15:20Franz Schuster, WienGeometric inequalities for rotation equivariant additive mappings
15:30-15:50Peter Pivovarov, AlbertaA convex body lacking symmetric projections
19:00 Conference Dinner 


Tuesday, July 26

9:00-9:50 Franck Barthe, Toulouse Functional approach to isoperimetry and concentration
10:10-11:00 Gilles Pisier, Paris Similarity problems and amenability for groups and operator algebras
11:00-11:30 Coffee break 
11:30-11:50Jiri Matousek, PragueChallenges of combinatorial linear programming
12:00-12:20Guillaume Aubrun, Paris and AthensSampling convex bodies: a random matrix approach
12:30-14:00 Lunch break 
14:00-14:20Valentyn Vengerovskyi, Tel AvivEigenvalue distribution of some ensembles of sparse random matrices
14:30-14:50Tobias Müller, BudapestThe chromatic number of random geometric graphs
15:00-15:20Emanuel Milman, RehovotUsing dual mixed-volumes to bound the isotropic constant
15:30-16:00Coffee break 
16:00-16:20Gennadiy Averkov, Chemnitz and Firenze Convex bodies with critical cross-section measures
16:30-16:50Márton Naszódi, Calgary Ball-polytopes in Euclidean spaces


Wednesday, July 27

9:00-9:50 Yann Brenier, Nice Optimal transportation of currents
10:10-11:00 László Lovász, Budapest and Redmond Graph limits, Szemerédi’s Regularity Lemma, and some Banach spaces
11:00-11:30 Coffee break 
11:30-11:50Michael Krivelevich, Tel AvivSmoothed analysis in graphs and boolean formulas
12:00-12:20Gil Kalai, JerusalemNoise sensitivity and noise stability, some recent results
12:30-12:50Alain Pajor, Marne-la-ValléeReconstruction and subgaussian operators