Bonn Topology Group - Abstracts

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Talk

May 3, 2022
Andy Baker (Glasgow University): The Steenrod algebra and its subHopf algebras as P-algebras with some applications in stable homotopy theory

Abstract

It has been known for over half a century that cohomology calculations over the Steenrod algebra often reduce to calculations over finite subHopf algebras such as the A(n) family. There is a systematic theory that gives some insight into this, the theory of P-algebras, due to Margolis and building on work of Moore and Peterson on nearly Frobenius algebras.
I will discuss some of the main properties of P-algebras that allow very easy calculations which using vanishing of Ext groups for certain types of module. If there is time I will also discuss comodules over the dual Hopf algebra of a P-algebra.

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