The University of Michigan Combinatorics Seminar
Winter 2002
May 8, 4:10-5:00, 3866 East Hall





Generalized associahedra via quiver representations

Andrei Zelevinsky

Northeastern University




Abstract

Generalized associahedra introduced in a joint work with S. Fomin (hep-th/0111053) are certain smooth complete simplicial fans associated with arbitrary finite root systems. They include as special cases the Stasheff associahedron and the Bott-Taubes cyclohedron. We discuss a joint work with R. Marsh and M. Reineke which provides a natural interpretation of generalized associahedra in terms of quiver representations. With this interpretation, some of the key properties of these fans become easy consequences of the known facts about tilting quiver representations.