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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the chain rule in Goodwillie calculus - Thomas
Blom (University of Copenhagen)
DTSTART;TZID=Europe/London:20240621T160000
DTEND;TZID=Europe/London:20240621T163000
UID:TALK217384AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/217384
DESCRIPTION:The chain rule of Arone-Ching is a celebrated resu
lt in Goodwillie calculus and can be seen as a cat
egorification of the chain rule from ordinary calc
ulus. Given two functors from the category of spac
es or spectra to itself\, this chain rule describe
s how one can reconstruct the derivatives of the c
omposite from the derivatives of the individual fu
nctors.\nBased on this result\, Lurie conjectured
the existence of such a chain rule for functors be
tween a large class of &infin\;-categories. In joi
nt work with Max Blans\, we give an affirmative to
Lurie's conjecture.\nIn this talk\, I will give a
brief introduction to Goodwillie calculus and dis
cuss what such a chain rule should look like. I wi
ll then explain the main ideas that go into our pr
oof and describe some potential applications to th
e theory of operads.
LOCATION:External
CONTACT:
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