Finite Groups, Fusion Systems and Applications

Abstract

The Classification of Finite Simple Groups (CFSG) is considered to be one of the most important results of modern mathematics, and has led to many applications both inside and outside group theory. The theory of fusion systems, although originating in topology and modular representation theory, has quite recently grown into a new field with the potential for very strong impact in finite group theory, and in particular on one of the programmes for a new proof of part of the CFSG. The workshop focussed on some of these developments, as well as recent applications of finite group theory both within group theory and in other areas such as algebraic topology and algebraic combinatorics.