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Contractibility of the space of rational maps

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arxiv 1108.1741 v3 pith:K5OBUVC3 submitted 2011-08-08 math.AG math.ATmath.RT

Dennis Gaitsgory This is my paper · ORCID
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keywords spacerationalcontractiblemapsaffinealgebraicalgebro-geometricappropriate
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We define an algebro-geometric model for the space of rational maps from a smooth curve X to an algebraic group G, and show that this space is homologically contractible. As a consequence, we deduce that the moduli space Bun(G) of G-bundles on X is uniformized by the appropriate rational version of the affine Grassmannian, where the uniformizing map has contractible fibers.

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  1. Parabolic geometric Eisenstein series and constant term functors

    math.RT 2025-07 conditional novelty 8.0 of 10

    This paper proves that parabolic Jacquet functors on Whittaker categories match restriction and Lie algebra cohomology of representations under the geometric Casselman-Shalika equivalence.

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