Master Class on Derived Category Methods in Ring Theory

There will be a Master Class on Derived Category Methods in Ring Theory, with lectures by Lars Winther Christensen and Henrik Holm, at Aarhus University on August 13-16, 2024 (travel dates 12 and 17 August 2024). For more information, see the masterclass website, and register here.

Limited support is available for PhD students and postdocs on a first come basis. Please contact Peter Jørgensen at peter.jorgensen@math.au.dk to inquire about support.

Abstract: Starting from the category of modules over a ring we construct the derived category and the accompanying derived versions of the Hom and tensor product functors. We show how this framework applies to studies of rings and modules. In particular, we demonstrate how, even if one is focused on modules, the derived category is the natural context for homological studies. We also show how ring-theoretic properties, such as being Iwanaga-Gorenstein or regular, are reflected in the derived category. The intended audience are PhD students, postdocs, and anyone else wishing to learn these methods. There will be eight lectures and several problem sessions.