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SUMMARY:Aziz Kharoof (Bilkent University)
DTSTART:20231002T103000Z
DTEND:20231002T113000Z
DTSTAMP:20260422T135812Z
UID:BilTop/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/63/">
 Homotopical characterization of strong contextuality (part II)</a>\nby Azi
 z Kharoof (Bilkent University) as part of Bilkent Topology Seminar\n\nLect
 ure held in SB-Z11.\n\nAbstract\nSimplicial distributions introduced in th
 e paper “Simplicial quantum contextuality” provide a topological appro
 ach to the study of contextuality for collections of probability distribut
 ions. The space of measurements and the space of outcomes are represented 
 by simplicial sets\, so one can ask what is the role of the homotopy theor
 y of simplicial sets here. In this talk\, we will give a homotopical chara
 cterization of strongly contextual simplicial distributions with binary ou
 tcomes\, specifically those defined on the cone of a 1-dimensional space. 
 To prove this\, we introduce the corresponding category for simplicial dis
 tribution on the cone of a 1-dimensional space and give the characterizati
 on of strong contextuality in terms of this category.\n
LOCATION:https://researchseminars.org/talk/BilTop/63/
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