Tuesday, November 20 and November 27, 14:00, 7.527

Jorge Vitoria and Frederik Marks, Localisations of rings in representation theory I and II.

Abstract:
Ring epimorphisms are important tools to describe certain subcategories of the module category of a ring. In these talks we will use localisation techniques to characterise some classes of ring epimorphisms. The first talk will focus on torsion-theoretical localisations, after Gabriel, and their relation with flat ring epimorphisms. In the second talk we will discuss universal localisations, after Cohn and Schofield, and a generalised version due to Krause. These localisations will be useful to describe certain homological ring epimorphisms.