• Friday, May 13, 14:00, 7.527
    Julian Külshammer (Uppsala), The Auslander-Reiten translation in monomorphism categories.

  • Abstract:
    We develop and apply a theory of relative and absolute Nakayama functors to describe the Auslander-Reiten translation in the monomorphism category associated to an arbitrary quiver (or more generally a generalised species) as a composition of a relative Nakayama functor, the Auslander-Reiten translation in the underlying category, and a functorial minimal approximation. This generalises earlier work due to Ringel and Schmidmeier for the case of the A2-quiver. It is based on the second part of joint work in progress with Nan Gao, Sondre Kvamme, and Chrysostomos Psaroudakis.