Building Bridges Between Algebra and Topology

• Κύριοι συγγραφείς: Chachólski, Wojciech (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Dyckerhoff, Tobias (http://id.loc.gov/vocabulary/relators/aut), Greenlees, John (http://id.loc.gov/vocabulary/relators/aut), Stevenson, Greg (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Herbera, Dolors (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Pitsch, Wolfgang (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Zarzuela, Santiago (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Advanced Courses in Mathematics - CRM Barcelona,
• Θέματα: Commutative algebra.; Commutative rings.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Algebraic topology.; Commutative Rings and Algebras.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; Algebraic 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. . 

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