Matrix mutations and Dynkin diagrams

Andrei Zelevinsky

Northeastern University

April 18,
refreshments at 3:45pm


This talk is about combinatorial aspects of the theory of cluster algebras initiated by Sergey Fomin and myself three years ago. We shall discuss a family of piecewise-linear transformations (called mutations) of integer matrices. The classification of matrices with certain finiteness property preserved under mutations turns out to provide a new instance of the famous Cartan-Killing classification.

Speaker's Contact Info: andrei(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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