WORKSHOP ON
L-FUNCTIONS AND RANDOM MATRICES


WHERE: American Institute of Mathematics (AIM), Palo Alto, CA

DATES: Monday, May 14 - Friday, May 18, 2001

ORGANIZER: Brian Conrey (conrey@aimath.org)

List of Participants
Some open problems
Schedule of talks
Hotels where everyone is staying

DESCRIPTION: In 1974, H. Montgomery found the first indication of a connection between the distribution of the zeros of the Riemann zeta-function and the distribution of the eigenvalues of random matrices. Random matrices had been studied by statisticians beginning in the 1930s and Mathematical Physicists starting in the 1950s. In 1981, numerical calculations by A. Odlyzko of some statistics of the zeros of the Riemann zeta-function led to remarkable graphs illustrating the connection that Montgomery predicted.

Recent work by many authors, has led to several interesting developments including the study of low lying zeros of families of L-functions and conjectures for mean-values of L-functions running in a family.

The purpose of this workshop is to consider the future development of this field, with a focus on understanding the goals of the subject, the limitations, and how to attack the important unsolved problems.

PARTICIPATION: There is a limited amount of space for participants for this workshop. If you would like to attend and can make a case that your participation would be of benefit to your research program, please contact Brian Conrey (conrey@aimath.org).