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Pattern avoidance enumeration and heaps of pieces

Student-Run Discrete Math Seminar

Speaker: Brant Jones, UC Davis
Location: 2112 MSB
Start time: Thu, Nov 13 2008, 1:10PM

Several disparate phenomena have been characterized by permutation pattern avoidance including: stack sortability in computer science, geometric information about Schubert varieties, and properties of the set of reduced words of a permutation. In this talk, we will discuss an approach for enumerating certain classes of pattern-avoiding permutations using partial orders called heaps that have been introduced by Viennot and Stembridge. This is joint work with Hugh Denoncourt.