Homotopy Coherent Nerve

Abstract: In this talk, we aim to understand the equivalences between two different models of infinity-categories: Simplicial categories and quasi-categories. We will define the homotopy coherent nerve as a functor from simplicial categories to simplicial sets, construct its left adjoint, and we will show how this gives us a Quillen equivalence between the described model categories.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

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