Hyperquot schemes and infinite-dimensional representations of
sl(n) 
-- Anthony Licata, February 20, 2009

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 The moduli space of degree d maps from P^1 to the flag variety
 of sl(n) has a natural compactification known as the hyperquot
 scheme or Laumon space. Finkelberg and Kuznetsov constructed
 an action of sl(n) on the cohomology of these spaces and gave
 a conjectural description of the resulting module, which is
 non-semisimple.  We review the Finkelberg-Kuznetsov
 construction and describe a closely related action of a
 commutative algebra on the same space.  This is joint work
 with Alina Marian.