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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 17, 2013 12:35–13:25, Moscow, Steklov Mathematical Institute of the RAS
 


Kazhdan-Lusztig conjecture for affine Lie algebras via Uhlenbeck spaces

A. Braverman
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A. Braverman


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Abstract: We present a new geometric approach to Kazhdan-Lusztig type conjectures for finite and affine Lie algebras (the actual results are new only in the case of affine Lie algebras and critical level). One nice property of this approach is that allows to treat the cases of representation of affine Lie algebras with positive, negative and critical level in a uniform way.
This is a joint work in progress with M.Finkelberg and H.Nakajima.

Language: English

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