EVENT DETAILS AND ABSTRACT

Title: Universal Toda brackets of ring spectra
Speaker: Steffen Sagave
Speaker Info: Mathematisches Institut Bonn
Brief Description:
Special Note:
Abstract:

Motivated by a construction of Benson, Krause and Schwede for differential graded algebras I will define the universal Toda bracket of a ring spectrum R. This is a certain cohomology class in a graded version of the topological Hochschild cohomology of the ring of homotopy groups of R. The class contains information about the question whether a module over the homotopy groups of R arises as the homotopy groups of an R-module spectrum. As an example, I will consider the real K-theory spectrum. I will also indicate how to handle higher universal Toda brackets for periodic ring spectra.