Local-global conjectures in the representation theory of finite groups

TL;DR

This paper surveys recent progress on local-global conjectures in the representation theory of finite groups, highlighting key developments and unresolved questions in the field.

Contribution

It provides a comprehensive overview of recent advances and ongoing research related to local-global conjectures in finite group representations.

Findings

Summary of recent breakthroughs in local-global conjectures

Identification of key open problems in the field

Overview of methods used in recent research

Abstract

We give a survey of recent developments in the investigation of the various local-global conjectures for representations of finite groups.