Homotopical characterization of strong contextuality

Abstract: For a simplicial scenario, the space of measurements and the space of outcomes are represented by simplicial sets, so one can ask what the role of the homotopy theory of simplicial sets is in the theory of simplicial distributions. In this talk, we will give a homotopical characterization of strongly contextual simplicial distributions with binary outcomes, specifically those defined in 1-dimensional space. To prove this, we introduce the corresponding category for simplicial distribution on 1-dimensional space and characterize strong contextuality in terms of this category.

(This talk is part of the reading seminar series on the theory and applications of simplicial distributions.)

algebraic topologycategory theory

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