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Interactions Between Homotopy Theory and Algebra - 9780821838143

Un libro in lingua di Avramov Luchezar L. (EDT) Christensen J. Daniel (EDT) Dwyer William G. (EDT) Mandell Michael A. (EDT) edito da Amer Mathematical Society, 2007

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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)

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