Consecutive patterns in words, permutations and in trees
- đ¤ Speaker: Vladimir Dotsenko (Trinity, Dublin)
- đ Date & Time: Wednesday 23 February 2011, 16:30 - 17:30
- đ Venue: MR15
Abstract
This talk is about algebraic approaches to several topics in the combinatorics of pattern avoidance, from the classical question of avoiding a fixed set of word patterns to questions of pattern avoidance in trees, a new concept that was motivated by study of algebraic operads. The model example I shall discuss in most detail is halfway between those two, that is consecutive pattern avoidance for permutations. Namely, I shall explain how can use homology of ``shuffle algebras’’ to obtain results in enumerative combinatorics. The talk is partly based on a joint work with A.Khoroshkin (ETH Zurich).
Series This talk is part of the Algebra and Representation Theory Seminar series.
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Vladimir Dotsenko (Trinity, Dublin)
Wednesday 23 February 2011, 16:30-17:30