Building Bridges Between Algebra and Topology

Chachólski, W., Dyckerhoff, T., Greenlees, J. and Stevenson, G. (2018) Building Bridges Between Algebra and Topology. Series: Advanced courses in mathematics - CRM Barcelona. Birkhäuser: Cham, Switzerland. ISBN 9783319701561 (doi: 10.1007/978-3-319-70157-8)

Abstract

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.

• Item Type: Books
• Status: Published
• Glasgow Author(s) Enlighten ID: Stevenson, Dr Gregory
• Authors: Chachólski, W., Dyckerhoff, T., Greenlees, J., and Stevenson, G.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: Birkhäuser
• ISBN: 9783319701561
• Published Online: 01 April 2018