February 3, 2015
10:00 am
Stewart Library
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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 K-theory of these varieties: one is the original picture
by Nakajima, rephrased in terms of shuffle algebras, and the other
one is the Maulik-Okounkov quantum toroidal algebra. The connection
between the two is provided by the action of certain operators in
the so-called "stable basis", and we will present formulas
for this action. These formulas can be perceived as a generalization
of Lascoux-Leclerc-Thibon ribbon tableau Pieri rules.
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