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