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Alternating sign matrices from a physicist point of view

Tuesday 22nd April 2008 - 10:00 to 11:00
INI Seminar Room 1

There has recently been a convergence of interests between combinatorics and physics through the observation due to Razumov and Stroganov that the components of the ground state wave function of the 6-vertex (at a special value of the anisotropy parameter) model enumerate alternating sign matrices. This correspondence is still mysterious. I shall present my approach to the problem which uses the (Macdonald) polynomial representation of affine-Hecke algebras and points towards a connection with the Quantum Hall Effect.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons