From total positivity to quantum algebras
Stephane Launois (University of Kent)
Wednesday 28th October, 2009 16:00-17:00 Mathematics Building, Room 204
Abstract
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 (Lenagan, Rigal and I). The aim of this talk is to present these results and explore the reasons for this coincidence.
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