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Building Bridges Between Algebra and Topology

Building Bridges Between Algebra and Topology
Catalogue Information
Field name Details
Dewey Class 512.44
Title Building Bridges Between Algebra and Topolog ([EBook]) / by Wojciech Chachólski, Tobias Dyckerhoff, John Greenlees, Greg Stevenson ; edited by Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela.
Author Chachólski, Wojciech
Added Personal Name Dyckerhoff, Tobias author.
Greenlees, John author.
Stevenson, Greg author.
Herbera, Dolors editor.
Pitsch, Wolfgang editor.
Other name(s) SpringerLink (Online service)
Publication Cham : Birkhäuser , 2018.
Physical Details : online resource.
Series Advanced courses in mathematics, CRM Barcelona 2297-0304
ISBN 9783319701578
Summary Note 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. .:
Contents note Higher Categorical Aspects of Hall Algebras -- Support Theory for Triangulated Categories -- Homotopy Invariant Commutative Algebra over Fields -- Idempotent Symmetries in Algebra and Topology.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA users)
Internet Site http://dx.doi.org/10.1007/978-3-319-70157-8
See Also http://dx.doi.org/10.1007/978-3-319-70157-8
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