Let G be a finite extension of a torus. Working with highly structured ring and module
spectra, let M be any module over MU; examples include all of the standard homotopical MU …

We construct a category of spectra that has all limits and colimits and also has a strictly
associative and commutative smash product. This provides the ground category for a new …

We introduce a new construction in stable homotopy theory. If F and G are module spectra
over a ring spectrum E, there is no well-known spectrum of E-module homomorphisms from …

Let E be a homotopy commutative ring spectrum, and suppose the ring of cooperations E∗ E
is flat over E∗. We wish to address the following question: given a commutative E∗-algebra …

We give a definition of a derivation of an A∞ ring spectrum and relate this notion to
topological Hochschild cohomology. Strict multiplicative structure is introduced into …

This textbook is an introduction to the modern foundations of stable homotopy theory and
'algebra'over structured ring spectra, based on symmetric spectra. We begin with a quick …

This volume concerns spectra with enriched multiplicative structure. It is a truism that
interesting cohomology theories are represented by ring spectra, the product on the …

Introduction 1 1. Spectra and the stable homotopy category 6 2. Smash products and twisted
half-smash products 11 3. The category of L-spectra 13 4. The smash product of L-spectra …

Stable homotopy theory studies the homotopy category of spectra. This category has a
symmetric monoidal smash product which allows the definition of ring spectra 'up to …

Brown-Peterson spectra in stable A1-homotopy theory Page 1 RENDICONTI del SEMINARIO
MATEMATICO della UNIVERSITÀ DI PADOVA GABRIELE VEZZOSI Brown-Peterson spectra …