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Seminar of the Department of Algebra
February 26, 2008 15:00, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)
 


Group laws and commutativity conditions on $n$-categories

L. Breen

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Abstract: As the integer $n$ grows, so does the number of distinct natural commutativity conditions which may be satisfied by a given higher group law on an $n$-category (or more generally an $n$-stack). I will describe these conditions for small values of $n$, and discuss their relation with the cohomology of Eilenberg–Mac Lane spaces. This relation also points to some interesting multilinear invariants which may be attached to these categories and stacks.

Language: English

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