香蕉视频

Title: Graphical presentations of abelian categories

In this talk, I'll discuss graphical languages that give syntax for regular and abelian categories. Every regular or abelian category has an associated regular or abelian calculus, a kind of graphical language with manipulation rules. This construction is 2-functorial and has a left adjoint given by a "syntactic category" construction; indeed the 2-category of regular categories is reflective in that of regular calculi, and similarly for abelian categories and abelian calculi. I will discuss these notions, and give a flavor of the graphical languages involved.