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SUMMARY:Kathryn Hess (EPFL)
DTSTART:20200608T140000Z
DTEND:20200608T150000Z
DTSTAMP:20260423T021313Z
UID:OATS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OATS/5/">Cal
 culus from comonads</a>\nby Kathryn Hess (EPFL) as part of Online algebrai
 c topology seminar\n\n\nAbstract\n(Joint work with Brenda Johnson.)  The m
 any theories of "calculus" introduced in algebraic topology over the past 
 couple of decades--e.g.\, Goodwillie's calculus of homotopy functors\, the
  Goodwillie-Weiss manifold calculus\, the orthogonal calculus\, and the Jo
 hnson-McCarthy cotriple calculus--all have a similar flavor\, though the o
 bjects studied and exact methods applied are not the same.   We have const
 ructed a relatively simple category-theoretic machine for producing towers
  of functors from a small category into a simplicial model category\, dete
 rmined conditions under which such tower-building machines constitute a ca
 lculus\, and showed that this framework encompasses certain well known cal
 culi\, as well as providing new classes of examples.   The cogs and gears 
 of our machine are cubical diagrams of reflective subcategories and the co
 monads they naturally give rise to.\n\nIn this talk\, I will assume no fam
 iliarity with comonads and only basic knowledge of simplicial model catego
 ries.\n
LOCATION:https://researchseminars.org/talk/OATS/5/
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