### Dendroidal sets and infinity-operads I

Moerdijk, I *(Radboud Universiteit Nijmegen)*

Tuesday 22 January 2013, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

Dendroidal sets form an extension of simplicial sets, suitable for dealing with nerves of (simplicial) operads rather than just categories. They also give rise to a natural definition of infinity-operad, completely parallel to that of infinity-category. In these lectures, I aim to introduce the category of dendroidal sets together with its monoidal structure and its compatible Quillen model category structure. If time allows, I will also discuss the comparison of the dendroidal theory of infinity-operads to Lurie's approach to infinity-operads.

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