3:35 pm Tuesday, September 12, 2017
Junior Geometry Seminar: Two affine lines over the sphere spectrum by Rok Gregoric in RLM 12.166
In this talk, we will examine the analogue of the affine line in spectral algebraic geometry. It was shown by Toën-Vezzosi that there in fact exist two versions, which are nonequivalent unless we are working rationally. The moral (and as we will see also the formal) reason for this is the existence of nontrivial Steenrod operations in positive characteristic. The existence of two affine lines is a cornerstone result of the subject, displaying, depending on the point of view, either pathologies or exciting new behaviors, which set spectral algebraic geometry apart from its ordinary analogue, or even its derived cousin. Submitted by
|
|