Infinity categories and infinity operads
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Mon, 27/02/2012 15:45 |
Ieke Moerdijk (Utrecht and Sheffield) |
Topology Seminar  |
L3 |
| I will discuss some aspects of the simplicial theory of infinity-categories which originates with Boardman and Vogt, and has recently been developed by Joyal, Lurie and others. The main purpose of the talk will be to present an extension of this theory which covers infinity-operads. It is based on a modification of the notion of simplicial set, called 'dendroidal set'. One of the main results is that the category of dendroidal sets carries a monoidal Quillen model structure, in which the fibrant objects are precisely the infinity operads,and which contains the Joyal model structure for infinity-categories as a full subcategory. (The lecture will be mainly based on joint work with Denis-Charles Cisinski.) | |||