Extension and lifting of G-bundles on stacks

Torsten Wedhorn

Extension and lifting of G-bundles on stacks

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arxiv 2311.05151 v2 pith:2427XASS submitted 2023-11-09 math.AG

Torsten Wedhorn This is my paper · ORCID

classification math.AG

keywords bundlesextensiongroupstacksaffinealgebraicapplicationsbound

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We study extension properties for morphisms of stacks of bundles for group algebraic spaces. Applications are a short proof of the classification of bundles on the projective line for smooth geometrically reductive groups and the existence of splittings of filtered fiber functors for gerbes bound by affine pro-smooth group schemes defined over rings.

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Moduli of truncated shtukas and displays
math.AG 2025-06 conditional novelty 6.0 of 10

Truncated shtukas and displays are classified by quotient stacks of loop groups by display groups, with explicit cutoff bounds N0 = 2C+1 beyond which truncation determines the full object.

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