SMS scnews item created by Duncan Sutherland at Wed 3 Aug 2011 1611
Type: Seminar
Distribution: World
Expiry: 4 Aug 2011
Calendar1: 4 Aug 2011 1300-1400
CalLoc1: New Law 026
Auth: duncans@p80714.pc.maths.usyd.edu.au

SUMS: Nandakumar -- Combinatorics of Schubert polynomials

Schubert polynomials were introduced by Lascoux and
Schutzenberger in 1982, and since have played a very important role in
combinatorics and geometry. After defining Schubert polynomials, I
will discuss how they can be neatly expressed using the combinatorics
of pipe dreams and wiring diagrams using the nil-Hecke algebra. After
deducing some identities from these techniques, I will talk about
their relation to Schur polynomials via Grassmanian permutations. Time
permitting, I will introduce Schubert varieties, which were one of the
original geometric motivations for defining Schubert polynomials.


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