Algebra & Geometry Seminar: Universal localisations of commutative rings
Jorge Vitória (City University London)
Howard House, 4th floor seminar room
Abstract: In the 80's, Cohn and Schofield introduced a generalisation of the classical interpretation of what a ring localisation should be. This new idea of "universal localisation" has since then played an important role in representation theory and in algebraic topology, and is an important source of ring epimorphisms.
In this talk, I will overview some ideas concerning (universal) localisations of rings, (flat) ring epimorphisms and their applications in representation theory. The aim is to then discuss some results obtained in joint work in progress with L. Angeleri Hügel, F. Marks and J. Stovicek concerning universal localisations of commutative rings.