Trends In Representation Theory Of Algebras And Related Topics

This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics.

Some additional articles are included in order to complete a panoramic view of the main trends of the subject.

The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience.

The articles include new proofs, examples, and detailed arguments.

Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, $A$-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel-Roiter measure for modules, and selfinjective algebras.