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Building Bridges Between Algebra and Topology (Paperback, 1st ed. 2018)
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Building Bridges Between Algebra and Topology (Paperback, 1st ed. 2018)
Series: Advanced Courses in Mathematics - CRM Barcelona
Expected to ship within 10 - 15 working days
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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 area; 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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