BilTop | Igor Sikora | Simplicial categories

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.