turkmath.org

Fusion theory is the study of the structure of finite groups visible to a particular prime number. It connects the worlds of finite groups, algebraic topology, and modular representation theory. In this talk we will describe fusion systems arising from finite groups and discuss one of the motivating theorems in the field, which roughly states that the algebraic and topological notions of p-local data coincide. We will conclude with a discussion of more recent work, joint with Reeh and Yalcin, that seeks to understand fusion systems in terms of certain more group-like structures.