Date: Friday, February 16, 2018
Location: 1360 East Hall (12:10 PM to 2:00 PM)
Title: The very many uses of simplicial objects
Abstract: I will describe four uses of simplicial objects. First, I will describe the precise sense, via an equivalence of derived categories, in which simplicial sets provide a combinatorial model for the homotopy theory of topological spaces. Second, I will describe how simplicial modules arise as resolutions of modules, via the DoldKanPuppe correspondence. Third, I will describe how simplicial sets can be used to construct a model, namely the quasicategories of Joyal and Lurie, of (infinity,1)categories. Finally, I will describe how simplicial objects can be used to construct derived variants of algebraic structures.
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Speaker: Montek Gill
Institution: University of Michigan
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