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April 28, 2021
Wednesday, April 28
Geometry and Topology
Time: 15:30
Speaker: Martina Rovelli (University of Massachusetts Amherst)
Title: "n-complicial sets as a model for (,n)-categories"
Room: Zoom Meeting ID: 958 6908 4555

Abstract: 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 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.