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
Place: SA141 – Mathematics Seminar Room & ZOOM
To request the event link, please send a message to email@example.com