Tuesday, January 28, 14:00, 7.527

Carlo Klapproth, The projectivisation technique, the no-loop conjecture(s) and the applications to Auslander--Reiten theory

Abstract:

Projectivisation is a very useful tool to relate "local" properties of a k-linear category to properties of a k-algebra. We will make use of this idea to study the implications of the strong no-loop conjecture on Auslander--Reiten theory and explain some geometric implications (this is based on joint work with Martin Kalck and Nebojsa Pavic). Motivated by this, we then present work in progress relating different versions of the no-loop conjecture(s) and some of their implications on Auslander-Reiten theory.