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SUMMARY:On the chain rule in Goodwillie calculus - Thomas Blom (University
  of Copenhagen)
DTSTART:20240621T150000Z
DTEND:20240621T153000Z
UID:TALK217384@talks.cam.ac.uk
DESCRIPTION:The chain rule of Arone-Ching is a celebrated result in Goodwi
 llie calculus and can be seen as a categorification of the chain rule from
  ordinary calculus. Given two functors from the category of spaces or spec
 tra to itself\, this chain rule describes how one can reconstruct the deri
 vatives of the composite from the derivatives of the individual functors.\
 nBased on this result\, Lurie conjectured the existence of such a chain ru
 le for functors between a large class of &infin\;-categories. In joint wor
 k with Max Blans\, we give an affirmative to Lurie's conjecture.\nIn this 
 talk\, I will give a brief introduction to Goodwillie calculus and discuss
  what such a chain rule should look like. I will then explain the main ide
 as that go into our proof and describe some potential applications to the 
 theory of operads.
LOCATION:External
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