EVENT DETAILS AND ABSTRACT

Title: Higher nonsymmetric operads and symmetric operads
Speaker: Michael Batanin
Speaker Info: Macquarie University, Sydney
Brief Description:
Special Note:
Abstract:

The combinatorics of 1-fold loop spaces is well understood in terms of geometry of Stasheff's polytopes and is extremely useful. The combinatorics of n-fold loop spaces for n>1 is much more mysterious. In my lecture I will show how higher categorical ideas lead to a new recognition principle for n-fold loop spaces which reveals their hiden combinatorics. If time allows me I will tell about higher dimensional analogues of Stasheff's polytopes and corresponding notions of E_n-algebras (including n=infinity).

See the preprint The Eckmann-Hilton argument, higher operads and E_n-spaces