Phenomena in High Dimension 

7-10 June 2022 at Institut Henri Poincaré - Amphithéâtre Hermite

Phenomena in High Dimension (PHD) are mainly concerned with analytic, geometric, probabilistic and statistical properties of finite dimensional objects, such as convex sets, random matrices, graphs, measured metric spaces, especially with the characteristic behavior that emerges when the dimension, or a number of other relevant free parameters, is suitably large or tends to infinity.

High-dimensional systems are very frequent in mathematics and applied sciences hence understanding of high-dimensional phenomena is becoming increasingly important. The last decade has seen a tremendous growth of high-dimensional phenomena, with the development of new powerful tech-niques, mainly of probabilistic flavor. By virtue of its general framework, methods, and its impact onrelated fields, PHD can be situated at the “crossroads” of many branches of mathematics: functional analysis, convex and discrete geometry, several areas of probability including random matrix theory, optimal transport and some aspects of graph theory, among others.

The goal of the conference is to gather international experts and young researchers working on these various areas of mathematics. The objective will be to share insights and methods to make emerge new collaborations that will lead to progresses on important problems in the PHD fields.

Titles and abstracts

Group photo

R. Adamczak, University of Warsaw, Poland
S. Artstein-Avidan, Tel-Aviv University, Israel
F. Barthe, Université de Toulouse, France
A. Ben-Hamou, Sorbonne, France
S. Bobkov, University of Minnesota, USA
C. Bordenave, CNRS, Institut de Mathématiques de Marseille, France
B. Dadoun, New York University Abu Dhabi, UAE
A. Eskenazis, Trinity College, Cambridge, UK
A. Guillin, University Blaise Pascal, Clermont-Ferrand, France
B. Klartag, Weizmann Institute, Israel
R. Latała, University of Warsaw, Poland
G. Livshyts, Georgia Tech, USA
M. Madiman, University of Delaware, USA
J. Najim, CNRS, LIGM, Université Gustave Eiffel, France
P. Nayar, University of Warsaw, Poland
G. Paouris, Texas A.& M. University, USA
G. Peccati, University of Luxembourg, Luxembourg
M. Rudelson, University of Michigan, USA
P.-M. Samson, Université Gustave Eiffel, France
Y. Shenfeld, Princeton University, USA
K. Tatarko, University of Alberta, Canada
T. Tkocz, Carnegie Mellon University, USA
R. Vershynin, University of California, USA
E. Werner, Case Western Reserve University, USA
P. Youssef, New York University Abu Dhabi, UAE

Shiri Artstein-Avidan (Tel Aviv University)
Gilles Pisier (Sorbonne Université & Texas A&M University)
Gideon Schechtman (Weizmann Institute of Science)

Matthieu Fradelizi (Université Gustave Eiffel)
Nathaël Gozlan (Université de Paris)
Olivier Guédon (Université Gustave Eiffel)
Florence Merlevède (Université Gustave Eiffel)
Artem Zvavitch (Kent State University)

Laboratoire LAMA - UMR 8050 - Université Gustave Eiffel

Laboratoire MAP5 - UMR 8145 - Université de Paris