Adams Spectral Sequences and Franke's Algebraicity Conjecture

Irakli Patchkoria, University of Aberdeen, United Kingdom, and Piotr Pstragowski, University of Washington, Seattle, Washington

Chapters 1. Introduction 2. Homology theories and Adams spectral sequences 3. Classification of Adams spectral sequences 4. Prestable Freyd envelope 5. Derived $\infty $-categories 6. Further topics in derived $\infty $-categories 7. Franke's algebraicity conjecture 8. Applications of the conjecture A. Comodules and quotients of abelian categories