Modular intersection cohomology of Drinfeld's compactifications

2025/05/23 by Achar, Pramod N., Dhillon, Gurbir, Riche, Simon
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2505.17953

Abstract

We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive algebraic group G, in case the characteristic of the coefficients field \Bbbk is good for G. In particular, we show that these dimensions do not depend on the choice of \Bbbk.

Citations

• Langlands duality on the Beilinson-Drinfeld Grassmannian
• Metaplectic Whittaker category and quantum groups : the "small" FLE
• The semi-infinite intersection cohomology sheaf-II: the Ran space version
• Notes on the geometric Satake equivalence
• The semi-infinite intersection cohomology sheaf
• "Scheme-theoretic images" of morphisms of stacks
• Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirkovic-Vilonen conjecture
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
• On Mirković-Vilonen cycles and crystals combinatorics
• Modules over the small quantum group and semi-infinite flag manifold
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Moduli spaces of principal F-bundles
• Geometric Eisenstein series

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• The Laumon's resolution of Drinfeld's compactification is small
• Arithmetic Satake compactifications and algebraic Drinfeld modular forms
• Compactification of Drinfeld Moduli Spaces as Moduli Spaces of\n A-Reciprocal Maps and Consequences for Drinfeld Modular Forms