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＜E-Book＞
Building Bridges Between Algebra and Topology / by Wojciech Chachólski, Tobias Dyckerhoff, John Greenlees, Greg Stevenson ; edited by Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2018
Size	XIII, 225 p : online resource
Authors	*Chachólski, Wojciech author Dyckerhoff, Tobias author Greenlees, John author Stevenson, Greg author Herbera, Dolors editor Pitsch, Wolfgang editor Zarzuela, Santiago editor SpringerLink (Online service)
Subjects	LCSH:Commutative algebra LCSH:Commutative rings LCSH:Associative rings LCSH:Associative algebras LCSH:Algebra, Homological LCSH:Algebraic topology FREE:Commutative Rings and Algebras FREE:Associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Algebraic Topology
Notes	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. HTTP:URL=https://doi.org/10.1007/978-3-319-70157-8

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