Perverse constructible sheaves are ubiquitous in algebraic geometry and geometric representation theory. Bezrukavnikov introduced their coherent analog, called perverse coherent sheaves. For technical reasons, there are essentially two examples when this notion is well-behaved: the nilpotent cone and the affine Grassmannian. In both these cases, this category is very interesting and well-studied.
I will present a generalization of this construction to an arbitrary symplectic singularity. This may be seen as a step towards building the Kazhdan—Lusztig theory in this setting.
Eric Zaslow
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