Derived 𝑙-adic categories for algebraic stacks

2003/01/01 by Kai A. Behrend, Kai Behrend · 14 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #advanced mathematical theories #Topological and Geometric Data Analysis

paper · doi:10.1090/memo/0774

Abstract

Introduction The ℓ-adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography.

Cited by

• Dualizing complexes and t-structures for algebraic stacks
• On the Cohomology of Moduli of Vector Bundles
• Geometrization of Trace Formulas
• G-companions on algebraic stacks and applications to canonical ℓ-adic local systems on Shimura stacks
• The bigger Brauer group and twisted sheaves
• Enhanced six operations and base change theorem for higher Artin stacks
• Quadric invariants and degeneration in smooth-etale cohomology
• Geometric derived Hall algebra
• Perverse sheaves on Artin stacks
• The imaginary case of the nonabelian Cohen--Lenstra heuristics
• Gravity prop and moduli spaces M_g,n
• Approximation theorems for classifying stacks over number fields
• Enhanced adic formalism and perverse t-structures for higher Artin stacks
• Representation stability, secondary stability, and polynomial functors

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• Enhanced adic formalism and perverse t-structures for higher Artin stacks
• Categorical Künneth formulas for analytic stacks
• p-adic sheaves on classifying stacks, and the p-adic Jacquet-Langlands correspondence
• Notes characterising higher and derived stacks concretely
• Enhanced six operations and base change theorem for higher Artin stacks