This book includes 33 expanded abstracts of selected talks given at the two workshops
Homological Bonds Between Commutative Algebra and Representation Theory and Brave New Algebra:
Opening Perspectives and the conference Opening Perspectives in Algebra Representations and
Topology held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June
2015. These activities were part of the one-semester intensive research program Interactions
Between Representation Theory Algebraic Topology and Commutative Algebra (IRTATCA). Most of
the abstracts present preliminary versions of not-yet published results and cover a large
number of topics (including commutative and non commutative algebra algebraic topology
singularity theory triangulated categories representation theory) overlapping with
homological methods. This comprehensive book is a valuable resource for the community of
researchers interested in homological algebra in a broad sense and those curious to learn the
latest developments in the area. It appeals to established researchers as well as PhD and
postdoctoral students who want to learn more about the latest advances in these highly active
fields of research.
