Introduction to E_noperads and little discs operads (minicourse)
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If you have a question about this talk, please contact Mustapha Amrani.
GrothendieckTeichmller Groups, Deformation and Operads
The little ndiscs operads, where n = 1,2,...,infinity, are used to define a hierarchy of homotopy commutative structures, from fully associative but noncommutative (n=1) up to fully associative and commutative (n=infinity).
In the construction of such homotopy commutative structures, we generally have to deal with operads which are just weaklyequivalent to the little ndiscs, and the name of an E_noperad has been introduced to refer to this notion. In this first lecture, I will give an introduction to E_noperads and their applications. I will notably report on the following significant issues: formality, Koszul duality, and recognition theorems.
General reference:B. Fresse, “Homotopy of operads and GrothendieckTeichmller Groups”. Book project. First volume available on the webpage “http://math.univlille1.fr/%7Efresse/OperadGTDecember2012Preprint.pdf”
This talk is part of the Isaac Newton Institute Seminar Series series.
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