nLab Stable categories and structured ring spectra

This page is to record the reference:

• Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill (eds.):

  
  

  Stable categories and structured ring spectra

  
  

  MSRI Publications 69

  Cambridge University Press (2022)

  ISBN:9781009123297

  doi:10.1017/9781009128957

  [GoogleBooks]

on stable homotopy theory and ring spectra (higher algebra, brave new algebra).

Contents

On homotopical categories, model categories and (∞,1)-categories:

• Emily Riehl: Homotopical categories: from model categories to (∞,1)-categories, 5–74 [arXiv:1904.00886, doi:10.1017/9781009128957.002]

On model categories of spectra:

• Daniel Dugger, Stable categories and spectra via model categories (pdf)

• Clark Barwick, Stable homotopy theory via ∞-categories.

On operad and algebra over an operad:

• Michael Mandell, Operads and Operadic Algebras in Homotopy Theory (arxiv.1912.13047)

On ring spectra:

• Birgit Richter, Commutative ring spectra (arXiv:1710.02328, pdf)

On Bousfield localization of model categories (Bousfield localization of spectra):

• Tyler Lawson, An introduction to Bousfield localization (arXiv:2002.03888)

On spectral algebraic geometry:

• Charles Rezk, Spectral algebraic geometry (pdf)

category: reference