Updown Robinson-Schensted correspondence through some algebraic varieties

Itaru Terada

University of Tokyo

September 29,
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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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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