pop@ams.org
06/07/2007

Interactions of Random Matrix Theory, Integrable Systems, and Stochastic Processes

Sunday, June 24– Thursday, June 28

Program and Abstracts

Organizing Committee
Jinho Baik (co-chair), Courant Institute of Mathematical Sciences
Percy Deift (co-chair), Courant Institute of Mathematical Sciences
Toufic Suidan (co-chair), University of California, Santa Cruz

Random matrix theory (RMT), which was first introduced into theoretical physics by Wigner in the 1950's, have now found applications in broad areas of mathematics, physics and applied mathematics. Examples of such applications are:

• Ulam's problem on the length of the longest increasing subsequence in combinatorics
  
  
• asymptotic representation theory
  
  
• probabilistic models such as last passage percolation, random growth models, random tiling models, non-intersecting random walks, exclusion processes and queues in tandem
  
  
• zeros of the Riemann-zeta function
  
  
• principal component analysis in multivariate statistics

The purpose of this meeting is to bring together experts from random matrix theory, integrable systems, and probability theory in order to discuss such problems and to uncover and analyze their mathematical structure.

Invited speakers who have tentatively confirmed: Gerard Ben Arous (Courant Institute of Mathematical Sciences), Alexei Borodin (California Institute of Technology), Alice Guionnet (Ecole Normale Supérieure de Lyon, France), Alexander Its (IUPUI), Kurt Johansson, (Royal Institute of Technology, Sweden), Charles Newman (Courant Institute of Mathematical Sciences), Herbert Spohn (Technische Universität München, Germany), Craig Tracy (University of California, Davis), and Ofer Zeitouni (University of Minnesota).