We introduce a new approach to constructing charge statistics for q-weight multiplicities, which is based on the geometry of the affine Grassmannian of the Langlands dual group. We track hyperbolic localization variations under wall crossings in the cocharacter lattice and define a mimicking combinatorial procedure based on iterated swaps to construct the charge.
Charges via the Affine Grassmannian
Patimo, Leonardo
2025-01-01
Abstract
We introduce a new approach to constructing charge statistics for q-weight multiplicities, which is based on the geometry of the affine Grassmannian of the Langlands dual group. We track hyperbolic localization variations under wall crossings in the cocharacter lattice and define a mimicking combinatorial procedure based on iterated swaps to construct the charge.File in questo prodotto:
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