Simplicial Categories I

Abstract: In this talk, we will discuss the second model of infinity categories: categories enriched over simplicial sets. We will start with a short overview of enriched categories and follow to the simplicial categories. We will also introduce simplicial functors and the homotopy category of a simplicial category. Then we will proceed with the Bergner model structure and sketch the proof of the fact that it is indeed a model structure.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

Cihan Okay

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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos