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SUMMARY:Consecutive patterns in words\, permutations and in trees - Vladim
 ir Dotsenko (Trinity\, Dublin)
DTSTART:20110223T163000Z
DTEND:20110223T173000Z
UID:TALK29721@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:This talk is about algebraic approaches to several topics in t
 he\ncombinatorics of pattern avoidance\, from the classical question of\na
 voiding a fixed\nset of word patterns to questions of pattern avoidance in
  trees\, a new\nconcept that was motivated by study of algebraic operads. 
 The model\nexample I\nshall discuss in most detail is halfway between thos
 e two\, that is\nconsecutive pattern avoidance for permutations. Namely\, 
 I shall\nexplain how can use\nhomology of ``shuffle algebras'' to obtain r
 esults in enumerative\ncombinatorics. The talk is partly based on a joint 
 work with\nA.Khoroshkin (ETH Zurich).\n
LOCATION:MR15
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