Trigraded spectral sequences for principal fibrations

Abstract: The Leray--Serre and the Eilenberg--Moore spectral sequence are fundamental tools for computing the cohomology of a group or, more generally, of a space. In joint work with Frank Neumann (Leicester), we describe the relationship between these two spectral sequences in the situation when both of them share the same abutment. This talk is an introduction to the topic with many examples. It should be suitable for an audience from graduate students in algebraic topology onward, and I will only assume some casual acquaintance with spectral sequences.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

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