[Alta-Logic] peripatetic seminar tomorrow

Jonathan Gallagher jdgall84 at gmail.com
Thu Sep 22 13:04:35 MDT 2016


I am delighted to inform you that there is a peripatetic seminar tomorrow,
at 2pm.

Speaker: Kristine Bauer

Location: ICT 616, Friday, September 22, at 2 pm.


Title: The differential category of abelian functors



Abstract:  In homological algebra, it is common to conflate an abelian
category A with it associated category of chain complexes, Ch A.  This
practice is  made precise by realizing that Ch(-) is a monad which acts on
the category of abelian categories and gives it the structure of a Kleisli
category.  There is a functor calculus for functors of abelian categories
due to Johnson-McCarthy.  The linearization process from this calculus
gives rise to a kind of directional derivative.  In this talk, I will show
that abelian categories equipped with these structures satisfy the axioms
defining a differential category, at least,  up to quasi-isomorphism.



This is joint work with Brenda Johnson, Christina Osorno, Emily Riehl, and
Amelia Tebbe.
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