MATH Semineri: “Simplicial categories II: Dwyer-Kan Localizations”, Aziz Kharoof, 13:30 3 Nisan (EN)

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

Speaker: Aziz Kharoof (Bilkent University)
“Simplicial categories II: Dwyer-Kan Localizations”

Abstract: The goal of this talk will be to understand the idea of localization of a category with respect to the class of maps and see how Dwyer-Kan localization is an example of such. Therefore we will start with the notion of localization of a category. Then we will proceed to several approaches to the Dwyer-Kan localization – as a derived functor with specific resolution and the hammock version, that gives a constructive description of the homotopy category. We will discuss the relation of DK localization of a simplicial model category and of its homotopy category.

Date: Monday, April 3, 2023
Time: 13:30
Place: SA141 – Mathematics Seminar Room & ZOOM

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