Laboratoire de Physique Théorique et Modèles Statistiques

Séminaire PHYSTAT-SUD : Jon Keating

Random Matrices and Number Theory

Jon KEATING (University of Bristol, Department of Mathematics)

The Riemann zeta function encodes information about the primes through the positions of its zeros. These zeros are the subject of the
Riemann Hypothesis. Remarkably, everything we know about them is consistent with their being distributed like the eigenvalues of random
matrices. They thus exhibit the characteristics of the energy levels of complex quantum systems. This connection extends to generalizations of
the zeta function and has shed new light on several long-standing problems in number theory. I shall review these ideas.

Un café sera servi a 13h30.

Lundi 7 juin à 14h

LPTMS-batiment 100, salle 201, Orsay


Calendrier des séminaires

Mai
Juillet
Juin 2010
lun. mar. mer. jeu. ven.
 
1
16:00» Seminaire LPTMS: Uzy Smilansky (Weizmann)
2
3
14:00» Séminaire commun LPT-LPTMS : Petr Sulc
4
11:00» Séminaire du LPTMS : Yoshiyuki Kabashima
7
14:00» Séminaire PHYSTAT-SUD : Jon Keating
8
11:00» Seminaire LPTMS : Luigi Cantini (LPT ENS)
9
10
11
14
15
11:00» Seminaire LPTMS: Rhoda Hawkins
16
17
18
14:00» Séminaire Physique Biologique et Systèmes Complexes : Guillaume Romet-Lemonne
21
22
11:00» Semianire LPTMS: Martin Lenz (Chicago)
23
24
16:00» Séminaire du LPTMS : Gunnar Boldhaus
25
10:30» Soutenance de thèse : Carlos Eduardo Alvarez Cabrera
15:00» Séminaire exceptionnel du LPTMS : Paolo Solinas
28
29
11:00» Seminaire LPTMS: Celine Nadal, Alvaro Rojo
30