4 papers
Uhlenbeck spaces for and affine Lie algebra
Michael Finkelberg, Dennis Gaitsgory, Alexander Kuznetsov
We introduce an Uhlenbeck closure of the space of based maps from projective line to the Kashiwara flag scheme of an untwisted affine Lie algebra. For the algebra this…
Calogero-Moser space and Kostka polynomials
Michael Finkelberg, Victor Ginzburg
We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n by n matrices to their eigenvalues. We s…
On tensor categories attached to cells in affine Weyl groups II
Roman Bezrukavnikov, Viktor Ostrik
George Lusztig conjectured that asymptotic affine Hecke algebra of a simply connected group can be explicitly described in terms of convolution algebras. Main Theorem of this note…
Factorizable sheaves and quantum groups
Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
The category (studied by Andersen-Jantzen-Soergel) of representations of a Lusztig's small quantum group at a root of unity, together with its modular structure, is defin…