Conference on the Riemann zeta function

This conference is part of the activity on Quantum Field Theory and the Statistical Distribution of Prime Numbers in the program Number Theory and Physics. It is sponsored by the ESI and the American Institute of Mathematics. The conference starts on September 20,1998 (arrival date). The talks at the Conference will be by invitation only; attendance, on the other hand, may be only restricted by the size of the lecture room. It is expected that most of the invited speakers will remain at ESI for one more week (either before or after the conference) to be able to interact more closely with interested mathematicians and mathematical physicists in Vienna during this period.

Preliminary schedule of talks

Monday, September 21:

10:00 - 12:30  Chairman: Alain Connes 
 S. Patterson   The Riemann zeta function and Hamburger's theorem
 D. Zagier  The Selberg zeta function, transfer operators, and periods of Maass wave forms 
16:00 - 18:30  Chairman: Atle Selberg
 C. Deninger  Motivic and dynamical cohomologies
 B. Julia  "Physical" parameters in zeta functions

Tuesday, September 22:

10:00 - 12:30  Chairman: Samuel Patterson
 J. Keating  Random matrix theory and some zeta-function moments
 S. Haran  The mysteries of the real prime
16:00 - 18:30  Chairman: Don Zagier
 A. Knauf  Number theory, dynamical systems and statistical mechanics
 Z. Rudnick   Poisson spacing statistics in number theory and mathematical physics 

Wednesday, September 23:

10:00 - 11:00 Chairman: Christopher Deninger
 B. Conrey  Mollifying the zeta-funtion
16:00 - 18:30  Chairman: Bernard Julia
 H. Iwaniec   The cubic moment of central values of automorphic L-functions 
 C. Soule  On zeros of automorphic L-functions 

Thursday, September 24:

10:00 - 12:30  Chairman: Shai Haran
 Yu. I. Manin  Quantum computing and factorization of large integers
 A. Odlyzko  The 10^21-st zero of the Riemann zeta function
16:00 - 18:30 Chairman: Zeev Rudnick
 D. Goldfeld  Integral operators and zeros of the zeta function
 E. Saias / M. Balazard   The Nyman-Beurling  equivalent form for the Riemann hypothesis 

Friday, September 25:

10:00 - 12:30  Chairman: Yuri I. Manin
 A. Connes  Trace formula, absorption spectra and the zeros of the Riemann zeta function 
 D. Hejhal  On the zeros of linear combinations of Euler products
16:00 - 18:30  Chairman: Brian Conrey
 P. Sarnak  Zeros of zeta functions and symmetry
 A. Selberg   Zeros of linear combinations of L-functions