Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Redi Haderi (Bilkent)<\/p>\n
\u201cSimplicially enriched categories\u201d<\/p>\n
Abstract: We are used to form a category of spaces whose morphisms are homotopy classes of maps. This category is inadequate for a lot of constructions. Instead one would look for a structure that records homotopies, homotopies between homotopies, and so on. The periodic table of elements predicts this structure to be an infinity-category with all higher morphisms invertible. Categories enriched over simplicial sets serve this purpose and constitute a model for such infinity-categories.
\nWe will define their coherent nerve and provide a relationship with quasi-categories.<\/p>\n
Date: Monday, March 18, 2019
\nTime: 13:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Redi Haderi (Bilkent) \u201cSimplicially enriched categories\u201d Abstract: We are used to form a category of spaces whose morphisms are homotopy classes of maps. This category is inadequate for a lot of [\u2026] <\/p>\n