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- W3134328128 abstract "Given a representation V of a reductive group G, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction. This variety comes with a natural deformation quantization, called a Coulomb branch algebra. Important cases of these Coulomb branches are (generalized) affine Grassmannian slices, and their quantizations are truncated shifted Yangians. Motivated by the geometric Satake correspondence and the theory of symplectic duality/3d mirror symmetry, we expect a categorical g-action on modules for these truncated shifted Yangians. I will explain three results in this direction. First, we have an indirect realization of this action, using equivalences with KLRW-modules. Second, we have a geometric relation between these generalized slices by Hamiltonian reduction. Finally, we have an algebraic version of this Hamiltonian reduction which we are able to relate to the first realization." @default.
- W3134328128 created "2021-03-15" @default.
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- W3134328128 date "2020-01-01" @default.
- W3134328128 modified "2023-09-23" @default.
- W3134328128 title "Hamiltonian reduction for affine Grassmannian slices" @default.
- W3134328128 hasPublicationYear "2020" @default.
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