In this talk, I will provide an introduction to abelian functor calculus, a version of functor calculus inspired by classical constructions of Dold and Puppe, and of Eilenberg and Mac Lane. I will then explain how the analog of a directional derivative in abelian functor calculus gives rise to the structure of a cartesian differential category for a particular category of functors of abelian categories.Non UBCUnreviewedAuthor affiliation: Union CollegeFacult
AbstractWe introduce the notion of differential λ-category as an extension of Blute-Cockett-Seely's ...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
For those interested in the short description, here is a list of topics that we will cover: polynomi...
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories ...
In this tutorial talk, we will provide an introduction to Cartesian differential categories, as well...
One of the fundamental tools of undergraduate calculus is the chain rule. The notion of higher order...
Functor calculus is a way of organizing the interplay between homotopy theory and stable homotopy th...
Cartesian differential categories come equipped with a differentialcombinator which axiomatizes the ...
Cartesian differential categories are categories equipped with a differentialcombinator which axioma...
Bauer, Johnson, Osborne, Riehl, and Tebbe (BJORT) showed that the Abelian functor calculus provides ...
axiomatization of categories of differentiable functions. The fundamental example is the category wh...
Dedication. The authors dedicate this work to the memory of Jim Lambek. Derivations provide a way of...
This is joint work with M. Burke and M. Ching. In this talk, I will present the definition of a tan...
Differential categories are now an established abstract setting for differentiation. The paper prese...
Following the pattern from linear logic, the coKleisli category of a differential category is a Cart...
AbstractWe introduce the notion of differential λ-category as an extension of Blute-Cockett-Seely's ...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
For those interested in the short description, here is a list of topics that we will cover: polynomi...
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories ...
In this tutorial talk, we will provide an introduction to Cartesian differential categories, as well...
One of the fundamental tools of undergraduate calculus is the chain rule. The notion of higher order...
Functor calculus is a way of organizing the interplay between homotopy theory and stable homotopy th...
Cartesian differential categories come equipped with a differentialcombinator which axiomatizes the ...
Cartesian differential categories are categories equipped with a differentialcombinator which axioma...
Bauer, Johnson, Osborne, Riehl, and Tebbe (BJORT) showed that the Abelian functor calculus provides ...
axiomatization of categories of differentiable functions. The fundamental example is the category wh...
Dedication. The authors dedicate this work to the memory of Jim Lambek. Derivations provide a way of...
This is joint work with M. Burke and M. Ching. In this talk, I will present the definition of a tan...
Differential categories are now an established abstract setting for differentiation. The paper prese...
Following the pattern from linear logic, the coKleisli category of a differential category is a Cart...
AbstractWe introduce the notion of differential λ-category as an extension of Blute-Cockett-Seely's ...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
For those interested in the short description, here is a list of topics that we will cover: polynomi...