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<p>We introduce a new approach to constructing charge statistics for <i>q</i>-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.</p>

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Charges via the Affine Grassmannian

  • 期刊论文

  • 发表日期：

    2025年11月26日

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  • Leonardo Patimo

摘要

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.