Online seminar, U. Haifa Topology & Geometry seminar on November 15, 2020
A recording of the talk is available here.
Topology & Geometry Seminar
Speaker: Andrew Baker, University of Glasgow
Topic: Modules over some ring spectra realising modules over subHopf algebras of the Steenrod algebra
Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.
Date: Sunday, November 15, 2020
Modern categories of spectra are strictly symmetric monoidal and their commutative monoids are equivalent to E-infinity ring spectra. These in turn have symmetric monoidal categories of modules which are model categories leading to new versions of homotopy theory. I will focus on two examples, the connective real K-theory spectrum kO and the connective topological modular forms spectrum tmf. The analogues of the mod 2 Steenrod algebra for their module categories are the finite subHopf algebras A(1) and A(2) of the mod 2 Steenrod algebra and I will discuss examples of modules over these which arise (or don’t arise) as cohomology of such modules.