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Dihedral symmetry and the Razumov-Stroganov Ex-Conjecture November 09, 2010
Parent Program: --
Location: MSRI: Baker Board Room
Description Speaker: Stephen Ng

In 2000, Wieland proved that Alternating Sign Matrices have dihedral
symmetry by introducing an operation called gyration which implements a
rotation. Recently, Cantini and Sportiello introduced a generalization of
gyration and used it to prove the Razumov-Stroganov conjecture, thus
confirming the numerical evidence for the relation between a particular
XXZ Hamiltonian, Alternating Sign Matrices, and Fully Packed Loops. We
will give an overview of the proof, giving particular attention to the
role of gyration.

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