Updown Robinson-Schensted correspondence through some
University of Tokyo
refreshments at 3:45pm
Steinberg showed that the Robinson-Schensted (R-S)
correspondence describes the relationship between two natural
labelings of the irreducible components of an algebraic variety,
sometimes called Steinberg's variety of triples. We give a similar
interpretation, through some algebric varieties, of a variant of the
R-S correspondence, conceived by Stanley and Sundaram and modified by
Roby, which links the Brauer diagrams (also regarded as
fixed-point-free involutions) with updown tableaux (also called
oscillating tableaux). The talk will include a correction to a former
preprint by the speaker, as well as some recent developments.
Speaker's Contact Info: terada(at-sign)ms.u-tokyo.ac.jp
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