BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Aziz Kharoof (University of Haifa) DTSTART:20241104T103000Z DTEND:20241104T113000Z DTSTAMP:20260422T135419Z UID:BilTop/93 DESCRIPTION:Title: Simplicial distributions\, convex categories\, and contextuality\nby A ziz Kharoof (University of Haifa) as part of Bilkent Topology Seminar\n\nL ecture held in SA 141.\n\nAbstract\nIn a quantum mechanical experiment\, t he data describing outcome probabilities consists of a family of probabili ty distributions indexed by subsets of jointly permissible measurements. T he simplicial framework introduced in the first talk models this data as a morphism in the Kleisli category associated with the distribution monad. By studying certain properties of the distribution monad\, we gain insight s into the enriched structure of this Kleisli category. These categories\, referred to as convex categories\, have a one-object version known as con vex monoids. In this talk\, we characterize contextuality as a monoid-theo retic concept by introducing a weak notion of invertibility for convex mon oids. Our main result is that a simplicial distribution is noncontextual i f and only if it is weakly invertible.\n\n(This talk is part of the readin g seminar series on the theory and applications of simplicial distribution s.)\n LOCATION:https://researchseminars.org/talk/BilTop/93/ END:VEVENT END:VCALENDAR