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Presented By: Department of Mathematics

Student Geometry/Topology

An introduction to simplicial sets and their homotopy theory

We will first describe simplicial sets and how one can be naturally lead to them by first considering geometric simplicial complexes. Next, we will describe how one can retrieve the geometric picture via realization. Finally, we will describe some of the homotopy theory one can do with simplicial sets and how, in a precise sense, the homotopy theory of simplicial sets provides a combinatorial model for the homotopy theory of spaces. Speaker(s): Montek Gill (UM)

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