Model Categories II - Derived functors and Quillen adjunctions

Igor Sikora (Bilkent University)

20-Mar-2023, 10:30-11:30 (12 months ago)

Abstract: Having the notion of a homotopy category, we will define the notion of a derived functor. Further on, we will proceed to the idea of comparing model structures and their homotopy categories by Quillen functors. Therefore we will cover Quillen functors, Quillen adjunctions and Quillen equivalences. We will also prove that Quillen model structures on simplicial sets and topological spaces are Quillen equivalent. The talk will finish with a model structure on simplicial sets which is relevant for the theory of quasicategories, i.e., the Joyal model structure.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic


Cihan Okay

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Organizer: Cihan Okay*
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