A story about spans

Abstract: Spans in a category C arise in a variety of disparate contexts, from the study partially defined functions between sets to Lagrangian correspondences in symplectic geometry. In this talk, I will give an overview of some of these connections and tell a story which leads from algebras in categories of spans to operads. Along the way, I will discuss past and ongoing work (part of the latter joint with Ivan Contreras and Rajan Mehta) analyzing and classifying various algebraic structures in spans.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

Bilkent Topology Seminar

Series comments: Contact the organizer to get access to Zoom.

Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos