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Дата изменения: Fri Feb 18 20:29:38 2005
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Conference "Combinatorial Methods in Physics and Knot Theory" (February 2005)

International conference
Combinatorial Methods in Physics and Knot Theory

Paul ZINN-JUSTIN (Poncelet laboratory, Moscow / LPTMS, Paris-11 Orsay): Combinatorics of the Brauer loop scheme

We present intriguing relations between, on the one hand, the geometry of a certain scheme in the space of matrices and related algebraic combinatorics, and on the other hand, a quantum integrable stochastic process of crossing loops. We provide some proofs based on use of the Yang-Baxter equation and on Schubert calculus.