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We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)
21 pages, 16 figures, proceedings of ICMP12
Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Mathematical Physics (math-ph), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Condensed Matter - Statistical Mechanics, Mathematics - Representation Theory, Mathematical Physics
Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Mathematical Physics (math-ph), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Condensed Matter - Statistical Mechanics, Mathematics - Representation Theory, Mathematical Physics
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