Quiver representations: basic facts and some recent developments

Ralf Schiffler

University of Massachusetts, Amherst

Brandeis University

Thursday, October 27, 2005

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract:Let $ Q = (Q_0,Q_1) $ be a quiver with vertices $ Q_0 $ and arrows $ Q_1 $. A representation of $Q$ is a family of vector spaces $ (V_i)_{i \in Q_0} $ and linear maps $ (f_{ij}) _{i\rightarrow j \in Q_1} $ between the vector spaces. In this talk, we will consider the category of representations of the quiver, or, equivalently, the module category of its path algebra. Then, we will illustrate the links between quiver representations and two other mathematical concepts; quantum groups and cluster algebras.

Home Web page: Alexandru I. Suciu Posted: October 17, 2005
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