AbstractGiven a holomorphic symplectic manifold and a pair of oriented holomorphic lagrangiansubmanifolds, the lagrangian intersection caries a canonical perverse sheaf known as the DTsheaf. On the other hand, the theory of deformation quantization provides another, seemingly quitedifferent, construction of a perverse sheaf. l will explain some recent results with Pavel Safronoy inwhich we iden...
Abstract The resolutions of Slodowy slices $\widetilde{\mathcal{S}}_e$ are symplectic varieties that contain the Springer fiber $(G/B)_e$ as a Lagrangian subvariety.In joint work with R. Bezrukavnikov, M. McBreen and Z. Yun, we construct analogues of these spaces for homogeneous affine Springer fibers. We further understand the categories of microlocal sheaves in these symplectic spaces support...
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