Stable Categories and Structured Ring Spectra

ISBN-13: 9781009123297 / Angielski / Twarda / 2022 / 450 str.

Opis

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.

Spis treści

1. Introduction Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill; 2. Homotopical categories: from model categories to (∞,1)-categories Emily Riehl; 3. Stable categories and spectra via model categories Daniel Dugger; 4. Stable homotopy theory via ∞-categories Clark Barwick; 5. Operads and operadic algebras in homotopy theory Michael A. Mandell; 6. Commutative ring spectra Birgit Richter; 7. An introduction to Bousfield localization Tyler Lawson; 8. Spectral algebraic geometry Charles Rezk; Bibliography; Index.