The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …

The purpose of this paper is twofold. Firstly, it gives a thorough treatment of the de Rham–
Witt complex for Z (p)-algebras, a construction we first considered in [L. Hesselholt, I …

We prove a purity property in telescopically localized algebraic $ K $-theory of ring spectra:
For $ n\geq 1$, the $ T (n) $-localization of $ K (R) $ only depends on the $ T …

We introduce a new approach to determining the structure of topological cyclic homology by
means of a descent spectral sequence. We carry out the computation for ap-adic local field …

We study the continuous (co-) homology of towers of spectra, with emphasis on a tower with
homotopy inverse limit the Tate construction XtG on a G-spectrum X. When G= Cp is cyclic of …

We compute the mod 2 cohomology of Waldhausen's algebraic K-theory spectrum A (∗) of
the category of finite pointed spaces, as a module over the Steenrod algebra. This also …

We define a functorial" Artin map" attached to any small $\bf {Z} $-linear stable $\infty $-
category, which in the case of perfect complexes over a global field recovers the usual Artin …

Abstract Rognes and Weibel used Voevodsky's work on the Milnor conjecture to deduce the
strong Dwyer-Friedlander form of the Lichtenbaum-Quillen conjecture at the prime 2. In …

Given a commutative ring spectrum R, let Λ XR be the Loday functor constructed by Brun,
Carlson and Dundas. Given a prime p≥ 5, we calculate π∗(Λ S n HF p) and π∗(Λ T n HF p) …

For a finite p p-group GG and a bounded below G G-spectrum XX of finite type mod pp, the G
G-equivariant Segal conjecture for XX asserts that the canonical map X^ G → X^ hG XG→ X …