We prove that the stable homotopy of any Γ-module F is the homology of a bicomplex Ξ (F),
in which the (q− 1) st row is the two-sided bar construction ℬ (Lie* q, Σ q, F [q]). This gives a …

The quest for an obstruction theory to E∞ ring structures on a spectrum has led a number of
authors to the investigation of homology in the category of E∞ algebras. In this note we …

COMMUTATIVE Γ-RINGS DO NOT MODEL ALL COMMUTATIVE RING SPECTRA 1. Introduction
Page 1 Homology, Homotopy and Applications, vol.11(2), 2009, pp.189–194 COMMUTATIVE …

We discuss some of the basic ideas of Galois theory for commutative $\mathbb {S} $-
algebras originally formulated by John Rognes. We restrict our attention to the case of finite …

Let K be a finite extension of Qp. We use the theory of (ϕ, Γ)-modules in the Lubin-Tate
setting to construct some corestriction-compatible families of classes in the cohomology of V …

The author introduces the notion of a Galois extension of commutative $ S $-algebras ($
E_\infty $ ring spectra), often localized with respect to a fixed homology theory. There are …

The category of rational G-equivariant cohomology theories for a compact Lie group G is the
homotopy category of rational G-spectra and therefore tensor-triangulated. We show that its …

The aim of this note is to understand under which conditions invertible modules over a
commutative-algebra in the sense of Elmendorf, Kriz, Mandell & May give rise to elements in …

Let X be a scheme such that# e Ox and let 1 be a line bundle over X. A quadratic space over
X with values in T is a triple (JF, h, 1), where F is a bundle over X and h is a selfdual …

This thesis covers two related subjects: homology of commutative algebras and certain
representations of the symmetric group. There are several different formulations of …