n-Complicial Sets as a Model for (∞, n)-Categories

With the rising significance of (∞, n)-categories, it is important to have easy-to-handle models for those and understand them as much as possible. In this introductory talk we will discuss how n-complicial sets provide a model for (∞, n)-categories, and how one can recover strict n-categories through a suitable nerve construction. We will focus on n = 2, for which more results are available, but keep an eye towards the general case. Time permitting, we will also discuss a few recent research directions and work in progress about n-complicial sets.