Interactions between homotopy and algebra : Summer School on Interactions between Homotopy Theory and Algebra, University of Ch

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology Introductory lecture series: Model categories and simplical methods / Paul Goerss and Kristen Schemmerhorn -- Lectures on local cohomology / Craig Huneke and (Appendix 1 by Amelia Taylor) -- Derived categories, resolutions, and Brown representability / Henning Krause -- Exercises on derived categories, resolutions, and Brown representability / Henning Krause -- Topics lecture series: Spectra for commutative algebraists / J.P.C. Greenlees -- Rational homotopy theory: a brief introduction / Kathryn Hess -- André-Quillen homology of commutative algebras / Srikanth Iyengar -- Local cohomology in commutative algebra, homotopy theory, and group cohomology / William G. Dwyer -- First steps in brave new commutative algebra / J.P.C. Greenlees -- Cotorsion pairs and model categories / Mark Hovey -- Coherent sheaves on an elliptic curve / Kristian Brüning and Igor Burban -- Lectures on the cohomology of finite groups / Alejandro Adem