eBook ISBN:  9780821881156 
Product Code:  CONM/436.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881156 
Product Code:  CONM/436.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 436; 2007; 334 ppMSC: Primary 13; 18; 55; Secondary 20; 14
This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.
ReadershipGraduate students and research mathematicians interested in algebraic topology, commutative algebra, algebraic geometry and homological algebra.

Table of Contents

Introductory Lecture Series [ MR 2355781 ]

Paul Goerss and Kristen Schemmerhorn — Model categories and simplicial methods [ MR 2355769 ]

Craig Huneke — Lectures on local cohomology [ MR 2355770 ]

Henning Krause — Derived categories, resolutions, and Brown representability [ MR 2355771 ]

Henning Krause — Exercises on derived categories, resolutions, and Brown representability [ MR 2355772 ]

Topics Lecture Series [ MR 2355781 ]

J. P. C. Greenlees — Spectra for commutative algebraists [ MR 2355773 ]

Kathryn Hess — Rational homotopy theory: a brief introduction [ MR 2355774 ]

Srikanth Iyengar — AndréQuillen homology of commutative algebras [ MR 2355775 ]

William G. Dwyer — Local cohomology in commutative algebra, homotopy theory, and group cohomology [ MR 2355776 ]

J. P. C. Greenlees — First steps in brave new commutative algebra [ MR 2355777 ]

Mark Hovey — Cotorsion pairs and model categories [ MR 2355778 ]

Kristian Brüning and Igor Burban — Coherent sheaves on an elliptic curve [ MR 2355779 ]

Alejandro Adem — Lectures on the cohomology of finite groups [ MR 2355780 ]


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This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.
Graduate students and research mathematicians interested in algebraic topology, commutative algebra, algebraic geometry and homological algebra.

Introductory Lecture Series [ MR 2355781 ]

Paul Goerss and Kristen Schemmerhorn — Model categories and simplicial methods [ MR 2355769 ]

Craig Huneke — Lectures on local cohomology [ MR 2355770 ]

Henning Krause — Derived categories, resolutions, and Brown representability [ MR 2355771 ]

Henning Krause — Exercises on derived categories, resolutions, and Brown representability [ MR 2355772 ]

Topics Lecture Series [ MR 2355781 ]

J. P. C. Greenlees — Spectra for commutative algebraists [ MR 2355773 ]

Kathryn Hess — Rational homotopy theory: a brief introduction [ MR 2355774 ]

Srikanth Iyengar — AndréQuillen homology of commutative algebras [ MR 2355775 ]

William G. Dwyer — Local cohomology in commutative algebra, homotopy theory, and group cohomology [ MR 2355776 ]

J. P. C. Greenlees — First steps in brave new commutative algebra [ MR 2355777 ]

Mark Hovey — Cotorsion pairs and model categories [ MR 2355778 ]

Kristian Brüning and Igor Burban — Coherent sheaves on an elliptic curve [ MR 2355779 ]

Alejandro Adem — Lectures on the cohomology of finite groups [ MR 2355780 ]