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Building bridges between algebra and topology

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Building bridges between algebra and topology/ by Wojciech Chacholski ... [et al.].
other author:	Chacholski, Wojciech.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 225 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Algebra, Homological. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-70157-8
ISBN:	9783319701578

Building bridges between algebra and topology
Building bridges between algebra and topology[electronic resource] /by Wojciech Chacholski ... [et al.]. - Cham :Springer International Publishing :2018. - xiii, 225 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics - CRM Barcelona..

Higher Categorical Aspects of Hall Algebras -- Support Theory for Triangulated Categories -- Homotopy Invariant Commutative Algebra over Fields -- Idempotent Symmetries in Algebra and Topology.

This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging Methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous subject; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.

ISBN: 9783319701578

Standard No.: 10.1007/978-3-319-70157-8doiSubjects--Topical Terms:

672614
Algebra, Homological.

LC Class. No.: QA169

Dewey Class. No.: 512.64

Building bridges between algebra and topology
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245 0 0 $a Building bridges between algebra and topology $h [electronic resource] / $c by Wojciech Chacholski ... [et al.].
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300 $a xiii, 225 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics - CRM Barcelona, $x 2297-0304
505 0 $a Higher Categorical Aspects of Hall Algebras -- Support Theory for Triangulated Categories -- Homotopy Invariant Commutative Algebra over Fields -- Idempotent Symmetries in Algebra and Topology.
520 $a This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging Methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous subject; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.
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650 1 4 $a Mathematics. $3 527692
650 2 4 $a Commutative Rings and Algebras. $3 672054
650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Category Theory, Homological Algebra. $3 678397
650 2 4 $a Algebraic Topology. $3 672209
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