Proves equivalence of categories for the S-dual of SO(2n)×Sp(2n) on C^{2n}⊗C^{2n} being SO(2n+1)×SO(2n) on T*SO(2n+1) as a non-polarized case of relative Langlands duality, with consequence for functoriality via theta correspondence.
Geometric Langlands Duality and Representations of Algebraic Groups Over Commutative Rings
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For the standard representation of Sp_{2n}(C), the Gaiotto locus is the Bialynicki-Birula closure associated to U(Sp_{2n-2}(C)) inside the nilpotent cone, and its intersection with the stable cotangent chart is the closure of the conormal bundle to the one-spinor stratum of the generalized theta-div
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.
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Towards the Relative Langlands Duality for Orthosymplectic Pairs
Proves equivalence of categories for the S-dual of SO(2n)×Sp(2n) on C^{2n}⊗C^{2n} being SO(2n+1)×SO(2n) on T*SO(2n+1) as a non-polarized case of relative Langlands duality, with consequence for functoriality via theta correspondence.
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On involutions of minuscule Kirillov algebras induced by real structures
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.
- Note on factorization categories