BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Aziz Kharoof (Bilkent University) DTSTART:20260406T103000Z DTEND:20260406T113000Z DTSTAMP:20260422T135313Z UID:BilTop/134 DESCRIPTION:Title: Extremal Simplicial Distributions on Glued Measurement Spaces\nby Azi z Kharoof (Bilkent University) as part of Bilkent Topology Seminar\n\nLect ure held in SA 141.\n\nAbstract\nSimplicial distributions form the Kleisli category of the distribution monad on simplicial sets. They were introduc ed as a framework for studying non-signaling polytopes and contextuality a rising from measurements in quantum physics\, with applications in quantum information theory. The domain of a simplicial distribution is a simplici al set that encodes the compatible measurements in a given scenario and is called the measurement space.\n\nIn this talk\, we characterize extremal simplicial distributions when the measurement space is a colimit of a diag ram of simplicial sets. We apply this result to cases in which identical s paces are glued together along a common subspace. In particular\, we obtai n a characterization of extremal simplicial distributions on what we call the rose and dipole graphs. Finally\, we show how this characterization ca n be used to detect extremal simplicial distributions on one-dimensional m easurement spaces.\n LOCATION:https://researchseminars.org/talk/BilTop/134/ END:VEVENT END:VCALENDAR