A new Hecke spectral sequence computes the Morava E-theory of unordered configuration spaces, yielding explicit E-theory and F_p-homology results for p-point configurations.
The Morava E-theories of finite general linear groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
By studying the representation theory of a certain infinite $p$-group and using the generalised characters of Hopkins, Kuhn and Ravenel we find useful ways of understanding the rational Morava $E$-theory of the classifying spaces of general linear groups over finite fields. Making use of the well understood theory of formal group laws we establish more subtle results integrally, building on relevant work of Tanabe. In particular, we study in detail the cases where the group has dimension less than or equal to the prime $p$ at which the $E$-theory is localised.
fields
math.AT 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
The Lubin-Tate Theory of Configuration Spaces: I
A new Hecke spectral sequence computes the Morava E-theory of unordered configuration spaces, yielding explicit E-theory and F_p-homology results for p-point configurations.