Gergen Lectures Seminar
Wednesday, March 2, 2011, 4:30pm, 119 Physics
Andrei Zelevinsky (Northeastern University)
Cluster algebras via quivers with potentials
Abstract:- This lecture ties together the strands developed in the first
two lectures. We discuss a recent proof (due to H. Derksen,
J. Weyman, and the speaker) of a series of conjectures on
cluster algebras by means of the machinery of quivers with
potentials. An important ingredient of our argument is a
categorification of cluster algebras using quiver
Grassmannians, a family of projective algebraic varieties that
are a far-reaching generalization of ordinary Grassmannians.
Generalizing an idea due to P. Caldero, F. Chapoton and B. Keller,
we show that the Euler characteristics of these varieties carry
crucial information about the structure of cluster algebras. [video]
Generated at 7:29am Friday, April 19, 2024 by Mcal. Top
* Reload
* Login