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SUMMARY:Aziz Kharoof (Bilkent University)
DTSTART:20251201T123000Z
DTEND:20251201T133000Z
DTSTAMP:20260422T140000Z
UID:BilTop/128
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/128/"
 >[cancelled] Simplicial methods in the resource theory of contextuality</a
 >\nby Aziz Kharoof (Bilkent University) as part of Bilkent Topology Semina
 r\n\nLecture held in SA 141.\n\nAbstract\nIn this talk\, we introduce two 
 categories:\nThe category of event scenarios\, which extends the standard 
 scenarios known from the sheaf-theoretic approach.\nThe category of scenar
 ios over a monad with a gluing operation\, which extends the category of s
 implicial bundle scenarios.\nWe define the empirical model and simplicial 
 distribution functors for these categories using the relative Grothendieck
  construction that presented in Behzat’s talk. We then introduce an inte
 rnal hom structure for event scenarios and for simplicial bundle scenarios
 \, which we call mapping scenarios.\nFinally\, we present our main result\
 , which characterizes convex maps between simplicial distributions in term
 s of non-contextual distributions on the corresponding mapping scenario\, 
 thereby enhancing and extending previous results in categorical quantum fo
 undations.\n
LOCATION:https://researchseminars.org/talk/BilTop/128/
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