SCIENTIFIC PROGRAMS AND ACTIVITIES

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THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
Geometric Representation Theory Seminar
2014-15

Room 332
Organizing Committee:

Joel Kamnitzer (jkamnitz <at> math.toronto.edu)
Peter Samuelson (peter.samuelson <at> gmail.com)
Oded Yacobi (oyacobi<at> math.toronto. edu)

Seminars will be held at the Fields Institute

 

 
Past Seminars
January 29, 2015
1:00 pm

Stewart Library

TBA
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 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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