Random matrices, L-functions, and primes

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Random matrices, L-functions and primes
October 27 to October 31, 2008

Below are found PDF files corresponding to the talks given at the conference, in chronological order.

Monday, October 27

E. Kowalski Analytic number theory for probabilists

A. Nikeghbali Limit theorems in probability theory, random matrix theory and number theory

J. Keating Random Matrix Theory and the zeta function, some background and some foreground

Tuesday, October 28

Z. Rudnick Statistics of zeros of zeta functions of curves over a finite field (Warning: this is a fairly large file).

D. Ulmer Explicit points on elliptic curves of high rank over function fields

Wednesday, October 29

D. Bump Characteristic polynomials of unitary matrices

N. Snaith and Duc-Khiem Huynh Random Matrix Theory and Zero Statistics of Elliptic Curve L-functions (Duc-Khiem's lecture)
Zero statistics of elliptic curve L-functions (N. Snaith's lecture)

Thursday, October 30

F. Mezzadri The derivative of the Riemann-zeta function, Toeplitz determinants and the Riemann-Hilbert problem

C. Delaunay Tate-Shafarevich groups, regulators of elliptic curves and L-functions

Friday, October 31

P.O. Dehaye Primes, partitions and permutations

P. Bourgade Counting the zeta zeros in distinct intervals

H. Bui Distribution of gaps between zeros of the derivative of the Riemann ξ-function

Last update: 30/10/2008 by E. Kowalski