EVENT DETAILS AND ABSTRACT

Title: An analogue of K-theory for higher chromatic homotopy theory
Speaker: Craig Westerland
Speaker Info: University of Melbourne
Brief Description:
Special Note:
Abstract:

We introduce a new cohomology theory constructed using homotopy theoretic methods that bears some formal resemblance to K-theory -- it is equipped withe Adams operations, a form of periodicity, and an analogue of the J-homomorphism. However, the information that it encodes is of a higher "chromatic level" than K-theory, and so may be suitable for studying higher chromatic phenomena in stable homotopy theory. Unfortunately, its geometric meaning is far from apparent, although there are some hints of a relationship with n-gerbes.