Algebraic Topology Seminar

In this talk, I will introduce untable modules with only the top k Steenrod operations at the prime 2. I will prove they have projective dimension at most k and establish some functors to relate such modules with the familiar unstable modules over the Steenrod algebra. In addition, I will talk about a generalization of the Lambda algebra which computes the Ext group from such modules to suspensions of the base field. Speaker(s): Zhulin Li (MIT)