For orientation preserving power operations, p-typicality is atypical
Justin Noel (IRMA Strasbourg)
Thursday 4th February, 2010 15:00-16:00 Mathematics Building, room 416
In joint work with Niles Johnson, we have computed some obstructions for a complex orientation preserving power operations to factor through the Brown-Peterson spectrum. This is actually a formal group law calculation and indicates an incongruity between the theory of p-typical formal group laws and stable homotopy theory. The non-triviality of these obstructions show that a number of standard ring spectra maps MU-->E, can not be maps of E_\infty ring spectra. Examples include E=BP, E_n, and E(n) for n>0 and p<13.