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SUMMARY:Michael Ching (Amherst College)
DTSTART:20200811T184500Z
DTEND:20200811T194500Z
DTSTAMP:20260423T021727Z
UID:operad/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/operad/4/">G
 oodwillie calculus and operads</a>\nby Michael Ching (Amherst College) as 
 part of operad pop-up\n\n\nAbstract\nThe goal of this talk is to survey th
 e role of operads in Goodwillie’s calculus of functors. A key observatio
 n is that the derivatives of the identity functor\, on a suitable pointed 
 $\\infty$-category $C$\, admit an operad structure which in the case of po
 inted spaces recovers a spectral version of the Lie operad. I will give a 
 couple different ways to construct the operad structure in general\, and t
 hen focus on the case where $C$ is itself the $\\infty$-category of algebr
 as over some (stable\, non-unital) operad $P$. In that case\, the derivati
 ves of the identity functor on $C$ recover\, in some form\, the operad $P$
 .\n
LOCATION:https://researchseminars.org/talk/operad/4/
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