The monoid of simplicial distributions

Abstract: In this talk, we will discuss the monoid structure of simplicial distributions (when the outcome space is a simplicial group) and its applications. We give some important examples of subgroups and submonoids when the outcome space is the nerve of a finite cyclic group. We then show the importance of the action of deterministic distributions on the simplicial distributions to understand their geometrical structure. Finally, we will introduce the Bell inequalities for a simplicial scenario and describe the action of the deterministic distributions on it.

(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