Title: Rigidity of the K(1)-local stable homotopy category
Speaker: Jocelyne Ishak
Speaker Info: Vanderbilt
Brief Description:
Special Note:
Abstract:
In some cases, it is sufficient to work in the homotopy category Ho(C) associated to a model category C, but looking at the homotopy level alone does not provide us with higher order structure information. Therefore, we investigate the question of rigidity: If we just had the structure of the homotopy category, how much of the underlying model structure can we recover?This question has been investigated during the last decade, and some examples have been studied, but there are still a lot of open questions regarding this subject. Starting with the stable homotopy category Ho(Sp), that is the homotopy category of spectra, it has been proved to be rigid by S. Schwede. Moreover, the E(1)-local stable homotopy category, for p=2, has been shown to be rigid by C. Roitzheim. In this talk, we investigate a new case of rigidity, which is the localisation of spectra with respect to the Morava K-theory K(1), at p=2.Date: Monday, March 09, 2020