February 3, 2015
10:00 am
Stewart Library

Andrei Negut
Stable bases for cyclic quiver varieties slides
We will outline a certain program for Nakajima quiver varieties,
in the cyclic quiver example. The picture includes two algebras that
act on the Ktheory of these varieties: one is the original picture
by Nakajima, rephrased in terms of shuffle algebras, and the other
one is the MaulikOkounkov quantum toroidal algebra. The connection
between the two is provided by the action of certain operators in
the socalled "stable basis", and we will present formulas
for this action. These formulas can be perceived as a generalization
of LascouxLeclercThibon ribbon tableau Pieri rules.
