Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its ...

The general goal of the project is to study the homological algebra of stable infinity-categories and Poincaré infinity-categories. This is done through the theory of non-commutative motives and ...