You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Aziz Kharoof (Bilkent)<\/p>\n
\u201cExtremal Simplicial Distributions on Glued Measurement Spaces \u201d<\/p>\n
Abstract: Simplicial distributions form the Kleisli category of the distribution monad on simplicial sets. They were introduced as a framework for studying non-signaling polytopes and contextuality arising from measurements in quantum physics, with applications in quantum information theory. The domain of a simplicial distribution is a simplicial set that encodes the compatible measurements in a given scenario and is called the measurement space.<\/p>\n
In this talk, we characterize extremal simplicial distributions when the measurement space is a colimit of a diagram of simplicial sets. We apply this result to cases in which identical spaces are glued together along a common subspace. In particular, we obtain a characterization of extremal simplicial distributions on what we call the rose and dipole graphs. Finally, we show how this characterization can be used to detect extremal simplicial distributions on one-dimensional measurement spaces.<\/p>\n
Date: April 6, Monday, 2026
\nTime: 13:30
\nPlace: SA141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Aziz Kharoof (Bilkent) \u201cExtremal Simplicial Distributions on Glued Measurement Spaces \u201d Abstract: Simplicial distributions form the Kleisli category of the distribution monad on simplicial sets. They were introduced as a framework for studying non-signaling polytopes [\u2026] <\/p>\n