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University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Consecutive patterns in words, permutations and in trees

## Consecutive patterns in words, permutations and in treesAdd to your list(s) Download to your calendar using vCal - Vladimir Dotsenko (Trinity, Dublin)
- Wednesday 23 February 2011, 16:30-17:30
- MR15.
If you have a question about this talk, please contact Christopher Brookes. 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). This talk is part of the Algebra and Representation Theory Seminar series. ## This talk is included in these lists:- Algebra and Representation Theory Seminar
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