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[CCICADA-announce] DIMACS/CCICADA Interdisciplinary Seminar Series - February 4, 2013

Linda Casals lindac at
Mon Feb 4 08:47:09 EST 2013



DIMACS/CCICADA Interdisciplinary Seminar Series Presents

Title: A new Analog of Permutation Patterns for General Coxeter groups

Speaker: Matthew Samuel, Rutgers University 

Date: Monday, February 4, 2013 11:00am - 12:00pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University                 
             Busch Campus, Piscataway, NJ


We discuss our recent generalization of the concept of a permutation
pattern to general Coxeter groups and relate it to the usual
definition as well as other generalizations. We prove a conjecture of
Billey and Crites characterizing the smooth Schubert varieties in
affine type A and prove that smoothness of Schubert varieties in any
Kac-Moody group is a pattern avoidance property in our sense. We show
that an element of a Coxeter group has at least as many commutation
classes of reduced words as any closed pattern it contains. We then
relate our patterns to Kazhdan-Lusztig polynomials and discuss our
ideas toward proving some longstanding conjectures.

DIMACS/CCICADA Interdisciplinary Series Calendar 2013-

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