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Shuffle operads

Presented by: 
V Dotsenko Trinity College Dublin
Thursday 10th January 2013 - 11:30 to 12:30
INI Seminar Room 2
Symmetric operads, usually arising in applications, provide a language to work with algebraic properties exhibited by substitutions of operations with many arguments into one another. Because of multiple arguments of operations, one naturally has symmetries (permutations of arguments of an operation) present in all arising questions. Contrary to what they teach us, in many of these questions symmetries rather get in the way than are helpful. A way to make symmetries almost disappear is to move to a large universe of "shuffle operads". Shuffle operads are easier to handle, and answers to many questions on symmetric operads can be derived from the respective answers in the shuffle world. The goal of this talk is to give an introduction to this circle of questions for beginners, and to outline some applications.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons