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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:From precalculus to calculus in algebraic topology
DTSTART:20151027T101500
DTEND:20151027T113000
DTSTAMP:20260510T053702Z
UID:3adfafbd85985ea31608bf17f3bcf292427451a26c62dc6b8fd70e50
CATEGORIES:Conferences - Seminars
DESCRIPTION:Kathryn Hess \n(Joint work in progress with Brenda Johnson.) 
 The many 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 t
 he Johnson-McCarthy cotriple calculus--all have a similar flavor\, though 
 the objects studied and exact methods applied are not the same. We have co
 nstructed a common\, relatively simple category-theoretic framework\, whic
 h we call precalculus\, into which all of the above-mentioned examples fit
  and which naturally leads us to define new flavors of calculus as well. I
 n this talk I will define the theory of precalculi\, then explain how to d
 erive a full-blown calculus from a precalculus. I will also describe the p
 recalculi underlying each of the standard calculi\, then indicate promisin
 g directions in which to look for new and useful calculi arising from prec
 alculi.
LOCATION:CM113
STATUS:CONFIRMED
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