Auslander-Reiten Theory for quiver-representations

Dr. Michael Barot, Universidad Nacional Autonoma de Mexico

May 03, 09:00 - 10:00, HG G 43
May 05, 14:00 - 15:00, HG G 43
May 06, 16:00 - 17:00, HG G 43
May 10, 09:00 - 10:00, HG G 43
May 12, 14:00 - 15:00, HG G 43
May 17, 09:00 - 10:00, HG G 43

Abstract

We will review the basics of the Auslander-Reiten Theory, which gives structural insight in the module category of finite dimensional algebras.
The contents of the 6 lectures of the minicourse are as follows:

1. Quivers and representations
2. The Auslander-Reiten quiver
3. The Auslander-Reiten transpose
4. Extension groups
5. The Auslander-Reiten Theorem
6. The Knitting technique