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Interactions Between Homotopy Theory and Algebra 1st Edition by Luchezar L Avramov, J Daniel Christensen, William G Dwyer, Michael A Mandell, Brooke E Shipley ISBN 0821838148 978-0821838143

  • SKU: BELL-2086824
Interactions Between Homotopy Theory and Algebra 1st Edition by Luchezar L Avramov, J Daniel Christensen, William G Dwyer, Michael A Mandell, Brooke E Shipley ISBN 0821838148 978-0821838143
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Interactions Between Homotopy Theory and Algebra 1st Edition by Luchezar L Avramov, J Daniel Christensen, William G Dwyer, Michael A Mandell, Brooke E Shipley ISBN 0821838148 978-0821838143 instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 3.31 MB
Pages: 341
Author: Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell, Brooke E. Shipley, Editors
ISBN: 0821838148
Language: English
Year: 2007

Product desciption

Interactions Between Homotopy Theory and Algebra 1st Edition by Luchezar L Avramov, J Daniel Christensen, William G Dwyer, Michael A Mandell, Brooke E Shipley ISBN 0821838148 978-0821838143 by Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell, Brooke E. Shipley, Editors 0821838148 instant download after payment.

Interactions Between Homotopy Theory and Algebra 1st Edition by Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell, Brooke E. Shipley - Ebook PDF Instant Download/Delivery: 0821838148, 978-0821838143

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Product details:

ISBN 10: 0821838148

ISBN 13: 978-0821838143 

Author:  Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell, Brooke E. Shipley 

Based on the lectures presented at the July/August 2004 summer school at the U. of Chicago, and aimed at beginning researchers with varied mathematical backgrounds, these articles create a background in the discipline and descriptions of current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra and representation theory. Topics of introductory lectures include model categories and simplical methods, local cohomology, derived categories, resolutions, and Brown representability. Topics of the lecture series include spectra for commutative algebra, rational homotopy theory, André-Quillen homology of commutative algebras, first steps in commutative algebra, cotorsion pairs and model categories, coherent sheaves on an elliptical curve, and the cohomology of finite groups. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Table of contents:

  1. Introductory Lecture Series

    • Model categories and simplicial methods

    • Lectures on local cohomology

    • Derived categories, resolutions, and Brown representability

    • Exercises on derived categories, resolutions, and Brown representability

  2. Topics Lecture Series

    • Spectra for commutative algebraists

    • Rational homotopy theory: a brief introduction

    • André-Quillen homology of commutative algebras

    • Local cohomology in commutative algebra, homotopy theory, and group cohomology

    • First steps in brave new commutative algebra

    • Cotorsion pairs and model categories

    • Coherent sheaves on an elliptic curve

    • Lectures on the cohomology of finite groups

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Tags: Luchezar L Avramov, J Daniel Christensen, William G Dwyer, Michael A Mandell, Brooke E Shipley, Interactions, Homotopy, Theory, Algebra

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