Classification problems in 2-representation theory

TL;DR

This paper surveys recent progress and future challenges in the classification of 2-representations within finitary 2-categories, highlighting key problems and developments in the field.

Contribution

It provides a comprehensive overview of recent advances and outlines open problems in the classification of 2-representations in 2-category theory.

Findings

Summarizes key recent results in 2-representation classification

Identifies major open problems and future research directions

Highlights the importance of classification in understanding 2-categories

Abstract

This article surveys recent advances and future challenges in the $2$-representation theory of finitary $2$-categories with a particular emphasis on problems related to classification of various classes of $2$-representations.