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SUMMARY:Goodwillie Calculus - Derek Sorensen
DTSTART:20200515T100000Z
DTEND:20200515T110000Z
UID:TALK142312@talks.cam.ac.uk
CONTACT:Nathanael Arkor
DESCRIPTION:Goodwillie Calculus is a categorification of differential calc
 ulus in which infinity categories are the analogue of smooth manifolds\, w
 ith functors between them the analogue of continuous/differentiable functi
 ons. Goodwillie’s main contribution is a tower of successive “n-polyno
 mial” functor approximations\, whose colimit converges to the original f
 unctor under the right circumstances. The analogy\, which goes deep\, give
 s insights into a topos-theoretic treatment of stable homotopy theory that
  is amenable to HoTT. In this approach\, stabilizing a category is the ana
 logue of linearizing it. We will give an exposition of Goodwillie calculus
 \, covering polynomial approximations and stabilization.
LOCATION:https://meet.jit.si/Logic-and-Semantics-for-Dummies
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