Cluster algebras and 2 Calabi-Yau triangulated categories

by Philippe Caldero, Université Claude Bernard, Lyon I.

Fomin-Zelevinsky's cluster algebras appeared in order to provide an algebraic framework for the study of Lusztig-Kashiwara's canonical basis.
Since its foundation, the theory has been connected with many research areas. One of the most fruitful link is its connection with 2 Calabi-Yau triangulated categories. The aim of the talk is to give a survey on the categorification of cluster algebras.