MATH Seminar: “Simplicially Enriched Categories,” Redi Haderi, SA-141, 1:40PM March 18 (EN)

Dear Colleagues and Students,

You are cordially invited to the Topology Seminar organized by the Department of Mathematics.

Speaker: Redi Haderi (Bilkent)

“Simplicially enriched categories”

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.
We will define their coherent nerve and provide a relationship with quasi-categories.

Date: Monday, March 18, 2019
Time: 13:40
Place: Mathematics Seminar Room, SA – 141