Speaker
Francesco Benini
(Simons Center)
Description
In the first part of the talk we study some dualities of two-dimensional
supersymmetric N=(2,2) gauge theories, reminiscent of 4d Seiberg
duality, focusing on chiral and twisted chiral rings and the so-called
sphere partition function. In the second part we observe that, when
applied to quiver gauge theories, those dualities realize the cluster
algebras of Fomin and Zelevinsky in their full completeness, with consequences in physics and mathematics.