Model categories I - basic definitions

Abstract: The goal of this talk is to provide basic definitions of the theory model categories. We would like to introduce the definition of a model category and its homotopy category. In particular, this will require a discussion of fibrations, cofibrations and weak equivalences, fibrant and cofibrant objects, cylinder and path objects. Then we will proceed to the notion of left and right homotopy and define the homotopy category of a model category. The whole theory will be shown using two examples: Quillen model structure on topological spaces and Quillen model structure on simplicial sets.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

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