Dr. Cipriano Junior Cioffo (University of Pisa) will give a seminar on Tuesday 3 June 2025 at 11:00 in room P18, DipMat.
Title: A taxonomy of categories for relations.
Abstract: In this talk, we present a taxonomy of categorical structures that abstract the category of relations. The study is conducted through a gs-monoidal lens, where “gs” refers to the garbage-share structure introduced by Corradini and Gadducci in 1999. Such structures generalize cartesian categories by relaxing their algebraic characterization given by Fox in 1976. Our analysis extends to Kleisli categories of various symmetric monoidal monads and relies on the string diagrammatic language. Time permitting, we will also explore the enriched setting. This presentation is based on joint work with Gadducci and Trotta.
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