Oberwolfach Seminar: Geometry and Combinatorics of Representations of Quivers

Date:

June 8th - 14th, 2003

Deadline for application:

May 1, 2003

Organizers:

Michel Brion, Grenoble

Harm Derksen, Ann Arbor

Hanspeter Kraft, Basel

Christine Riedtmann, Bern

Subjects:

Quivers and their representations have been introduced as a natural setup for classification problems in linear algebra. An early achievement of the theory is Gabriel's Theorem characterizing Dynkin quivers as those of finite representation type. Many subsequent developments relied on methods from algebraic transformation groups. In recent years, representations of quivers have shown up in several research fields, e.g. in algebraic geometry (moduli spaces, singularities of orbit closures) and in representation theory (canonical bases, quantum groups). The aim of the workshop is to give an introduction to the geometry of quivers for young researchers from different areas and to survey some of the recent developments.

Prerequisites:

Basic knowledge in representation theory and affine algebraic geometry.