Algebra/Topology seminar

Neil Strickland (Sheffield), Chromatic cohomology of finite general linear groups.

Abstract: I will describe a calculation of the Morava E-theory of the classifying spaces of general linear groups of finite fields, where the characteristic is different from the prime attached to the Morava E-theory.  There was already a presentation of these Morava E-theory groups due to Tanabe, but that presentation was hard to digest explicitly; in particular, it does not give a basis.  I will describe a different approach that does give a basis and fits into an interesting circle of related ideas.

This is joint work with Sam Hutchinson and Sam Marsh.