Freely adding adjoints to (∞,n)-categories and the walking adjunctionMPIM

by Fernando Abellán (MPIM)

Thursday Aug 13, 2026, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

The goal of this talk is to give a gentle introduction to adjunctions in the higher-categorical setting. After reviewing the main definitions, we will explain how to freely adjoin adjoints to an (∞,n)-category.
Time permitting, we will show how this construction can be used to recover a result of Riehl and Verity with a model-independent proof.