2 citations · 3 across the 3 of their papers we have counts for
6 papers
Modules over the small quantum group and semi-infinite flag manifold
S. Arkhipov, R. Bezrukavnikov, A. Braverman +2
We develop a theory of perverse sheaves on the semi-infinite flag manifold , and show that the subcategory of Iwahori-monodromy perverse sheaves is equiv…
Character Sheaves on Reductive Lie Algebras
Ivan Mirkovic
This paper is an introduction, in a simplified setting, to Lusztig's theory of character sheaves. It develops a notion of character sheaves on reductive Lie algebras which is more…
Tilting exercises
A. Beilinson, R. Bezrukavnikov, I. Mirkovic
This is an application of the theory of tilting objects to the geometric setting of perverse sheaves. We show that this theory is a natural framework for Beilinson's gluing of perv…
Twisted Crystalline Differential Operators
Ivan Mirkovic, Dmitriy Rumynin
This paper has been withdrawn by the authors.
Perverse Sheaves on affine Grassmannians and Langlands Duality
I. Mirković, K. Vilonen
This is an expanded version of the text ``Perverse Sheaves on Loop Grassmannians and Langlands Duality'', AG/9703010. The main new result is a topological realization of algebraic…
Geometric Representation Theory of Restricted Lie Algebras of Classical Type
Ivan Mirkovic, Dmitriy Rumynin
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group scheme which leads to a geometric constru…