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Graduate Seminar Series

Tue., Sep. 19, 2023 11:30 a.m.

Location: ED 438

Speaker: Arnaud Ngopnang Ngompé

Title: The Hurewicz model structure on simplicial R-modules (74 kB) PDF file


By a theorem of Christensen and Hovey, the category of non-negatively graded chain complexes has a model structure, called the h-model structure or Hurewicz model structure, where the weak equivalences are the chain homotopy equivalences. The Dold–Kan correspondence induces a model structure on the category of simplicial modules. In this talk, we give a description of the two model categories and some of their properties, notably the fact that both are monoidal.