[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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