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May 25, 2016
Wednesday, May 25
Homotopy Theory
Time: 13:30
Speaker: Christian Sattler (University of Leeds)
Title: "Algebraic model structures via "glueing""
Room: MC 107

Abstract: Consider a Grothendieck topos with a functorial cylinder with connections and a choice of generating cofibrations. Together, this induces a naive notion of fibration. We give sufficient coditions under which this gives rise to an (algebraic) model structure. The key point will be the glueing construction of Cohen et al., a recent combinatorial discovery that allows for constructively extending fibrations along trivial cofibrations without resorting to a theory of minimal fibrations.