The Kronecker modules

Claus Michael Ringel (Bielefeld und SJTU)

Abstract. The representations of a Kronecker quiver as well the corresponding graded representations (these are the reprsentations of the n-regular tree with bipartite orientation) play an important role in many parts of mathematics. The case n = 2 was studied by Weierstrass and Kronecker, later also by G.D.Birkhoff, Hilbert and Grothendieck, and seems to be well-understood. But for the wild cases n \ge 3, not much is known. In the lecture we will survey some recent results concerning the wild cases. In particular, we want to shed some light on the structure of the Auslander-Reiten orbits of the regular representations.


Ringel
Last modified: June 13, 2015