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Friday, March 20, 2015

**Abstract:** An E infinity operad is an operad that encodes the idea that a multiplication operation is not strictly commutative, but commutative up to homotopy coherence. This property essentially characterizes the E infinity operad up to equivalence. However, in equivariant homotopy theory, every family of subgroups determines a distinct equivariant operad, called an N infinity operad, whose underlying topological operad is E infinity. The goal of this talk is to introduce these operads and discuss properties of their algebras.