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Sheaves on root stacks and Nakajima quiver varieties

Francesco Sala
Institution: 
Laboratory of algebraic geometry and its applications, Moscow, Russia
Location: 
A-136
Schedule: 
Thursday, July 10, 2014 - 11:00 to 12:30
Abstract: 

In the present talk I describe a conjectural relation between moduli spaces of framed sheaves on some 2-dimensional root toric stacks and Nakajima quiver varieties of type the affine Dynkin diagram $\hat{A}_{k-1}$. If time permits, I will discuss an application of this relation to representation theory of affine algebras (and vertex algebras) and the AGT conjecture for (abelian) quiver gauge theories on ALE spaces of type $A_{k-1}$.

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