EVENT DETAILS AND ABSTRACT

Title: Fusion in the Burnside ring
Speaker: Professor Kari Ragnarsson
Speaker Info: DePaul
Brief Description:
Special Note:
Abstract:

In this talk I will present recent work, joint with Radu Stancu, in which we obtain a bijection between saturated fusion systems on a finite p-group S and idempotents in the double Burnside ring of S satisfying a "Frobenius reciprocity relation". (These terms will all be defined in the talk.) The theorem and its proof are purely algebraic, so I will focus attention on implications in algebraic topology, answering long-standing questions on stable splitting of classifying space and generalizing a variant of the Adams-Wilkerson theorem, as well as the obvious implications for p-local finite groups.