D-module and nilpotent limit categories for genus-zero vector bundles
D-module and nilpotent limit categories for genus-zero vector bundles
Let and let be the degree-zero component of the moduli stack of rank- vector bundles. Let denote the neutral component of the nilpotent limit category. Genus-zero limit-category conjecture. There is an equivalence
This is proposed as the automorphic counterpart of the trivial genus-zero degeneration on the spectral side. No resolution is supplied in the statement.
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Sources & referencesView supporting material
Primary source
Tudor Pădurariu and Yukinobu Toda, “The Dolbeault geometric Langlands conjecture via limit categories”, arXiv:2508.19624 (2026).
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