altgeld hall
Logic and Mathematics: connections and interactions


A conference entitled Logic and Mathematics: connections and interactions will be held at the Department of Mathematics , University of Illinois at Urbana-Champaign , May 21-25, 2003.

The organizers are: Lou van den Dries, C. Ward Henson, Anand Pillay, and Slawomir Solecki.

The aim of the meeting is to bring together mathematicians with an interest in and sensitivity to applications of mathematical logic. The focus will be on connections between logic and areas of mathematics such as algebraic and analytic geometry (complex, real, p-adic, including topics like motivic integration and o-minimality), diophantine geometry, algebraic groups, algebraic theories of differential equations, geometric group theory, geometry of Banach spaces, stochastic analysis, Borel equivalence relations, ...

Mathematicians expected to give hour talks include:

Alexandru Buium
Gregory Cherlin
Ovidiu Costin
Nigel Cutland
Andrei Gabrielov
Ehud Hrushovski
Alexander Kechris
Pascal Koiran
Francois Loeser
Ted Odell
 Bjorn Poonen
Thomas Scanlon
Zlil Sela
Katrin Tent
Simon Thomas
Anatoly Vershik
Alex Wilkie
Martin Ziegler
Boris Zilber

The meeting will take place in Altgeld Hall, home of the UIUC Mathematics Department, on the main quad of the campus.

Financial support for this meeting is provided by a grant from the U.S. National Science Foundation in the Focused Research Group program.		 Conference Information:

Titles and Abstracts of Talks

Alexandru Buium, University of New Mexico -- Orbit spaces in δ-geometry and analytic uniformization -- abstract (pdf)

Gregory Cherlin, Rutgers University -- Finite groups and groups of finite Morley rank -- abstract (pdf)

Ovidiu Costin, Rutgers University -- Modeling functions: transseries and analyzability -- abstract (pdf)

Nigel Cutland, University of Hull -- Stochastic fluid mechanics, attractors and nonstandard analysis -- abstract (pdf)

Andrei Gabrielov, Purdue University -- Betti numbers of definable sets -- abstract (pdf)

Ehud Hrushovski, Hebrew University -- Difference Schemes

Alexander Kechris, California Institute of Technology -- Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups -- abstract (pdf)

Pascal Koiran, Ecole Normale Supérieure, Lyon -- Vandermonde matrices in model theory, complexity theory and elementary geometry -- abstract (pdf)

Francois Loeser, Ecole Normale Supérieure, Paris -- Constructible motivic functions, integrals with parameters, and cell decomposition -- abstract (pdf)

Edward W. Odell, University of Texas at Austin -- Ramsey theory and Banach spaces -- abstract (pdf)

Bjorn Poonen, University of California, Berkeley -- Hilbert's Tenth Problem and number-theoretic generalizations -- abstract (pdf)

Thomas Scanlon, University of California, Berkeley -- Trivial observations about the André-Oort conjecture -- abstract (pdf)

Zlil Sela, Hebrew University -- Diophantine geometry over groups and the elementary theory of free and hyperbolic groups -- abstract (pdf)

Katrin Tent, University of Würzburg -- Asymptotic cones and questions of Margulis and Gromov -- abstract (pdf)

Simon Thomas, Rutgers University -- Superrigidity and the classification problem for the torsion-free abelian groups of finite rank -- abstract (pdf)

Anatoly Vershik, Steklov Institute of Mathematics, St. Petersburg -- Universality and Randomness: results and conjectures -- abstract (pdf)

Alex Wilkie, University of Oxford - A proper o-minimal expansion of the additive group of rationals -- abstract (pdf)

Martin Ziegler, University of Freiburg -- A question of Urysohn -- abstract (pdf)

Boris Zilber, University of Oxford -- Analytic Zariski structures -- abstract (pdf)


Accommodations

Blocks of rooms have been held at the following two places; reservations must be made by April 20, 2003.