Cluster algebras and quiver representations


Bernhard Keller

Université Paris 7

Northeastern University

Thursday, October 4, 2007


Talk at 4:30 p.m. in 215 Shillman Hall (NOTE UNUSUAL PLACE)

Tea at 4:00 p.m., 544 Nightingale Hall

This is also the first of two Maurice Auslander Distinguished Lectures
The lecture will be followed by reception at 5:45 - 7:00 p.m. in TBA


Abstract:   We will present the combinatorial construction of the cluster algebra associated with a quiver without loops or 2-cycles following Fomin and Zelevinsky. We will then report on the categorical interpretation of this algebra in the case of a quiver without oriented cycles (for example a Dynkin quiver). The main results presented at the end of the talk were obtained in joint work with Philippe Caldero. They are based on work by many authors, notably Buan, Marsh, Reineke, Reiten, Todorov and Zelevinsky.

Nightingale Hall is shown as No. 31 and Shillman Hall as No. 30 on the campus map at

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.

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Posted:: September 24, 2007    URL: