##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## Paul Zinn-Justin

#### Laboratiore de Physique Theorique et Hautes Energies \\ Universite Pierre et Marie Curie

## Quantum integrability and Combinatorics: qKZ, ASM, TSSCPP

##### Abstract:

We shall review the recent progress, based on the use of the quantum Knizhnik-Zamolodchikov equation, in the study of certain statistical models of loops with remarkable combinatorial properties and which are the subject of the Razumov-Stroganov conjecture. Then we shall present some applications to enumerative combinatorics, settling in particular some old conjectures on Alternating Sign Matrices and Plane Partitions.

Host: Jeff Remmel

### February 9, 2010

### 3:00 PM

### AP&M 7321

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