Algebra/Topology Seminar

Speaker: Torgeir Aambø

Title: An obscure perspective on chromatic homotopy theory

Abstract: The study of modules and comodules is ubiquitous throughout modern mathematics, and we have good recognition theorems for identifying them. Eilenberg and Moore defined in the 40’s a third type of module, which they called contramodules, but they were consequently forgotten and ignored until the early 2000’s, where they found some use in Koszul duality and tilting theory. In this talk we will see some different examples where contramodules naturally show up in stable homotopy theory, as well as present some ideas that I want to work on during my 4 months here at KU.