Laboratoire de Physique Théorique et Modèles Statistiques

Seminaire LPTMS : Luigi Cantini (LPT ENS)

Proof of the Razumov-Stroganov conjecture

Luigi Cantini (LPT ENS)

In 2001 Razumov and Stroganov conjectured that the (properly normalized) components of
the ground state of the dense O(1) loop model on a semi-infinite cylinder enumerate fully-packed
loop (FPL) configurations on the square, with alternating boundary conditions, refined according
to the link pattern for the boundary points. This conjecture has arisen a lot of interest both in
the physics and in the mathematics community.
In this talk, after reviewing the main background, I will present a proof of this conjecture. The main idea is to recognize the fundamental role of ?gyration?, an operation that can be performed on FPL, which was already the key in Wieland?s proof of the rotational symmetry of the FPL enumerations.

Mardi 8 juin à 11h

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