Universal localizations of d-homological pairs

Abstract: Let k be an algebraically closed field and A a finite dimensional k-algebra. The universal localization of A with respect to a set of morphisms between finitely generated projective A-modules always exists. Moreover, when A is hereditary, Krause and Stovicek proved that the universal localizations of A are in bijection with various natural structures. In this talk, based on joint work with Peter Jorgensen, I will introduce the higher analogue of universal localizations, that is universal localizations of d-homological pairs with respect to certain wide subcategories, and show a (partial) generalisation of Krause and Stovicek result in the higher setup.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

( slides )

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections