中科院数学与系统科学研究院

数学研究所

拓扑研讨班

报告人：林伟南 博士（北京大学）

题  目：On the May Spectral Sequence at the Prime 2

时  间：2021.06.04（星期五），10:15-11:45

地  点：数学院南楼N902室

摘  要：The May spectral sequence is one of the first effective methods to compute the cohomology of the Steenrod algebra. The E2 page is the cohomology of the associated graded algebra of the Steenrod algebra. In addition to a conjecture of May about all of the indecomposables of E2, we are going to state a conjecture about all of the relations. We also conjecture that this E2 page is nilpotent free. We will show that these conjectures all hold in a big subalgebra of E2 which covers a large range of dimensions.