Page last updated 13.05.2006.

                                    RESEARCH WORKSHOP OF THE ISRAEL SCIENCE FOUNDATION

                                                                                                     
                       Workshop on the Urysohn space

May 21-24, 2006


Ben-Gurion University of the Negev, Beer Sheva, ISRAEL

Department of Mathematics

The international workshop on the Universal Urysohn Metric Space will take place at Ben-Gurion University
(Beer Sheva, Israel) from 21-24 May, 2006.
Basic information about Ben-Gurion University and Beer Sheva can be found at URL
http://www.math.bgu.ac.il/center/university.html
 

The Urysohn space U is the universal complete metric separable space.

This remarkable mathematical object, introduced by P. Urysohn 80 years ago, has generated a considerable and

steadily growing interest over the past two decades. This renaissance was largely due to the research work by

V. Uspenskiy, followed by A. Vershik and later M. Gromov, which has positioned the Urysohn metric space on

the crossroads of numerous mathematical disciplines: Functional Analysis, Probability Theory, Dynamics,

Combinatorics, Model Theory and General Topology.

At the same time, there is still no known concrete realization (model) of the Urysohn space, and finding such a

model is one of the most interesting open problems of the theory, mentioned by such mathematicians as Frechet

and P.S. Alexandroff. The only bit of constructive knowledge about the structure of the Urysohn space currently

available is that U is homeomorphic to the separable Hilbert space (V. Uspenskiy).

An interesting approach to the Urysohn space was proposed by A. Vershik who regards the Urysohn space as a

generic, or random, metric space.

The purpose of the workshop is to bring together leading mathematicians working in the fields of Topological

Groups, Functional Analysis, Geometry, Representation Theory, Dynamics, Logic and Set Theory in order
to exchange ideas and present results of current research of the Urysohn space.
 
At this stage, we hope to be able to cover the cost of local expenses of all participants for the
duration of the workshop in Beer Sheva.
 
We are planning a one-day (May 24) tour to Massada and the Dead Sea for the workshop participants.
Also please notice that the event will be followed by the Annual Meeting of the Israel Mathematical Union which
will take place at the Neve Ilan resort (near Jerusalem), 25-26 May, 2006.
See http://imu.org.il/
 

Principal invited speakers:

Vladimir Uspenskiy (Ohio University, USA)

Anatoly Vershik (St. Petersburg branch of Steklov Mathematical Institute, Russia)

 

Principal speakers will give a one-hour talk.

Speakers will give a talk of 30- 40 minutes during 3 working days: May 21-May 23.

We expect the participation of the following mathematicians that

have already confirmed attending the workshop.

 

List of participants:

Vladimir Pestov (University of Ottawa, Canada)

Norbert Sauer (University of Calgary, Canada)

Miroslav Husek (University of Purkyne at Usti nad Labem and Charles University, Prague, Czech Republic)

Sam Tarzi (London University, England)

Christian Delhomme (University of Reunion, France)

Julien Melleray (University Paris VI, France)

Maurice Pouzet (University of Lyon, France)

Lionel Nguyen Van The (University Paris VII, France)

Stavros Iliadis (University of Patras, Greece)

Jan van Mill (Free University Amsterdam, the Netherlands)

Wieslaw Kubis (Kielce University, Poland)

Andrzej Nagorko (Institute of Mathematics, Warsaw, Poland)

Salvador Hernandez (University Jaume I, Spain)

Tadeusz Dobrowolski (Pittsburg State University, USA)

Jerzy Dydak (University of Tennessee, USA)

Greg Hjorth (University of California, USA)

Randall Holmes (Boise State University, USA)

Maciej Malicki (University of Illinois at Urbana-Champaign, USA)

Andrzej Roslanowski (University of Nebraska at Omaha, USA)

Slawomir Solecki (University of Illinois at Urbana-Champaign, USA)

Alex Usvyatsov (University of California, USA)

Isaac Gorelic (Canada, Israel)

Henryk Michalewski (Warsaw University, Poland and Ben-Gurion University, Israel)

Yonatan Gutman (The Hebrew University of Jerusalem, Israel)

Benjamin Weiss (The Hebrew University of Jerusalem, Israel)

Michael Megrelishvili (Bar-Ilan University, Israel)
Assaf Rinot (Tel Aviv University, Israel)
Boaz Tsaban (The Weitzmann Institute of Science, Israel)
Uri Abraham (Ben-Gurion University, Israel)
Edmund Ben-Ami (Ben-Gurion University, Israel)
Vladimir Fonf (Ben-Gurion University, Israel)
Menachem Kojman (Ben-Gurion University, Israel)
Arkady Leiderman (Ben-Gurion University, Israel)
Michael Levin (Ben-Gurion University, Israel)
Matatyahu Rubin (Ben-Gurion University, Israel)
There could well be changes to this list.

 

Scientific Committee of the workshop:

Alexander Kechris (California Institute of Technology, USA)

Vitali Milman (Tel-Aviv University, Israel)

Stevo Todorcevic (University of Toronto, Canada and CNRS, France)

 

Members of the Organizing Committee:

The Chair of the Organizing Committee
Matatyahu Rubin (Ben-Gurion University) matti@math.bgu.ac.il

Vladimir Fonf (Ben-Gurion University) fonf@math.bgu.ac.il
Arkady Leiderman (Ben-Gurion University) arkady@math.bgu.ac.il

Vladimir Pestov (University of Ottawa, Canada) vpest283@uottawa.ca




*Workshop -  May 21-24, 2006

*Support for the workshop is provided by the Israel Science Foundation and
Center for Advanced Studies in Mathematics,
Ben-Gurion University of the Negev, Beer Sheva, Israel

We acknowledge the company Atlas Conferences as a workshop sponsor.

For additional information, please send e-mail to arkady@math.bgu.ac.il

Page last updated 13.05.2006.