|DATE||February 28 (Thu), 2019|
|TITLE||DG seminar: "what is an infinity category?" III|
The category of simplicial categories is often just good enough to study homotopy theory. I am going to bring our attention to the aspect how simplicial categories provide a correct model to study infinity categories. The first step is to understand the homotopy coherent nerve ? la Cordier. To accommodate those who are not very familiar with category-theoretic terms, I am going to begin with explaining what a left Kan extension is and the rest of what I say is going to be mostly self-contained.