|Location:||MSRI: Simons Auditorium|
There are two fundamental classes of objects in representation
theory: path algebras of quivers and Geigle-Lenzing's weighted projective lines (or derived equivalently, Ringel's canonical algebras). Their importance comes from the fact that they give rise to abelian categories of global dimension 1. The aim of this talk is to consider higher dimensional analogs of these objects.