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SUMMARY:Infinity-Operads as Analytic Monads
DTSTART:20211019T141500
DTEND:20211019T151500
DTSTAMP:20260408T110400Z
UID:7019ce1a2a7edb0d78396fe485d1a3860be236ceafa2beadcf654ad4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Rune Haugseng\, Norges Teknisk-Naturvitenskapelige Universitet
 \nJoyal proved that symmetric sequences in sets (or “species”) can be 
 identified with certain endofunctors of Set\, namely the “analytic" func
 tors. Under this identification the composition product on symmetric seque
 nces corresponds to composition of endofunctors\, and this allows us to id
 entify operads in Set with certain “analytic” monads. Moreover\, the m
 onad corresponding to an operad O is precisely the monad for free O-algebr
 as in Set. In this talk I will explain how to obtain an analogous identifi
 cation for infinity-operads: assigning to an infinity-operad O (in Lurie
 ’s sense) the monad for free O-algebras in spaces identifies infinity-op
 erads with analytic monads. This builds on previous work with Gepner and K
 ock where we developed the theory of analytic monads in the infinity-categ
 orical setting.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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