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Friday, August 10, 2012

Algebra, Geometry and Combinatoric
2:00 pm   in 143 Altgeld Hall,  Friday, August 10, 2012
 Del Edit Copy
Submitted by ayong.
 Alexander Woo (Univ. of Idaho)Local complete intersection Schubert varietiesAbstract: I will talk about a characterization of the Schubert varieties which are local complete intersections (lci) using pattern avoidance.  One direction of the proof is by constructing an explicit minimal set of equations cutting out neighborhoods of Schubert varieties at the identity.  This leads to some interesting combinatorics involving Fulton's essential set and the Schubert varieties defined by inclusions, which have a mysterious link to certain hyperplane arrangements called inversion arrangements.  The other direction requires a generalization of pattern avoidance known as mesh pattern avoidance. This is joint work with Henning Ulfarsson (Reykjavik U.).