Jeudi 4 Novembre
Heure: 
10:00  12:00 
Lieu: 
Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13 
Résumé: 
Topologie algébrique  Infinityoperads as analytic monads  
Description: 
Rune HaugsengJoyal proved that symmetric sequences in sets (or "species") can be identified with certain endofunctors of Set, namely the "analytic" functors. Under this identification the composition product on symmetric sequences corresponds to composition of endofunctors, and this allows us to identify operads in Set with certain "analytic" monads. Moreover, the monad corresponding to an operad O is precisely the monad for free Oalgebras in Set. In this talk I will explain how to obtain an analogous identification for infinityoperads: assigning to an infinityoperad O (in Lurie's sense) the monad for free Oalgebras in spaces identifies infinityoperads with analytic monads. This builds on previous work with Gepner and Kock where we developed the theory of analytic monads in the infinitycategorical setting. 

