Updown RobinsonSchensted correspondence through some
algebraic varieties
Itaru Terada
University of Tokyo
September 29,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

Steinberg showed that the RobinsonSchensted (RS)
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
RS correspondence, conceived by Stanley and Sundaram and modified by
Roby, which links the Brauer diagrams (also regarded as
fixedpointfree 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(atsign)ms.utokyo.ac.jp
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