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Cluster algebras: Notes for the CDM-03 conference

arXiv:math/0311493

Abstract

This is an expanded version of the notes of our lectures given at the conference "Current Developments in Mathematics 2003" held at Harvard University on November 21--22, 2003. We present an overview of the main definitions, results and applications of the theory of cluster algebras.

The paper has been completely rewritten and greatly expanded compared to the previous version. Extensive bibliography added. 33 pages, 11 figures