Model Categories II - Derived functors and Quillen adjunctions
Igor Sikora (Bilkent University)
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
Series comments: Contact the organizer to get access to Zoom.
Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos
Organizer: | Cihan Okay* |
*contact for this listing |