You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Aziz Kharoof (Bilkent University)<\/p>\n
\u201cSimplicial distributions, convex categories and contextuality\u201d<\/p>\n
Abstract: The distribution monad D_R acts on sets and people used it to define R-convex set as an algebra over this monad. We will show (using the convolution) that the monad D_R upgraded to a monad on the category of (locally small) categories, which allows us to define R-convex categories. Our main example of R-convex category is the Kleisli category of the distribution monad D_R on simplicial sets. We will explain this example and show the relation with quantum contextuality. Later we will focus on R-convex monoids. We will define the notions of weakly invertibility, strong non-invertibility, and invertible fraction. Finally, we will show that for a simplicial scenario with a simplicial group as the outcome space, the notions above coincide with non-contextuality, strong contextuality, and contextual fraction, respectively. If there is time, we can discuss applications.<\/p>\n
Date: Monday, October 17, 2022
\nTime: 13:30
\nPlace: SA141 Mathematics Seminar Room<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Aziz Kharoof (Bilkent University) \u201cSimplicial distributions, convex categories and contextuality\u201d Abstract: The distribution monad D_R acts on sets and people used it to define R-convex set as an algebra over this monad. We will show [\u2026] <\/p>\n