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
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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.
Summarizes four constructions of commutative factorization sheaves of categories on the Ran space, generalizes the Drinfeld-Plücker formalism, and relates Satake functors for the Ran space with those for the configuration space of colored divisors on a curve.
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Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$
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
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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.
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Note on factorization categories
Summarizes four constructions of commutative factorization sheaves of categories on the Ran space, generalizes the Drinfeld-Plücker formalism, and relates Satake functors for the Ran space with those for the configuration space of colored divisors on a curve.