Oberwolfach Reports


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Volume 6, Issue 1, 2009, pp. 767–800
DOI: 10.4171/OWR/2009/14

Mini-Workshop: Non-Negativity is a Quantum Phenomenon

Organized by: Stephane Launois (1) and Thomas H. Lenagan (2)

(1) Institute of Mathematics and Statistics, University of Kent at Canterbury, CT2 7NF, CANTERBURY, KENT, UNITED KINGDOM
(2) School of Mathematics, University of Edinburgh, Mayfield Road, EH9 3JZ, EDINBURGH, UNITED KINGDOM

In recent publications, the same combinatorial description has arisen for three separate objects of interest: non-negative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the classical grassmannian (Brown, Goodearl and Yakimov); and, torus invariant prime ideals in the quantum grassmannian (Launois, Lenagan and Rigal). The aim of this meeting was to explore the reasons for this coincidence in matrices and the grassmannian in particular, and to explore similar ideas in more general settings.

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