Michael A. Mandell

MODEL CATEGORIES OF DIAGRAM SPECTRA

Working in the category

E algebras and p-adic homotopy theory

\mathcal{T}

Rings, modules, and algebras in infinite loop space theory

of based spaces, we give the basic theory of diagram spaces and diagram spectra. These are functors

Localization theorems in topological Hochschild homology and topological cyclic homology

\mathcal{D}\longrightarrow \mathcal{T}

Homology and cohomology of E∞ ring spectra

for a suitable small topological category

The localization sequence for the algebraic K-theory of topological K-theory

\mathcal{D}

Cochains and homotopy type

. When

The homotopy theory of cyclotomic spectra

\mathcal{D}

Modules in monoidal model categories

is symmetric monoidal, there is a smash product that gives the category of

Derived Koszul duality and involutions in the algebraic K-theory of spaces

\mathcal{D}