l进上同调上的E∞-结构

D. Gaitsgory, J. Lurie
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摘要

对于Weil猜想的应用,在代数几何的设置下,公式(3.1)的一个版本被公式化,其中M被替换为代数曲线X(定义在代数闭域k上),E被替换为X上光滑仿射群格式的分类堆栈BG。本章通过构造函子B的模拟来奠定基础。
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E∞-Structures on l-Adic Cohomology
For applications to Weil's conjecture, a version of (3.1) is formulated in the setting of algebraic geometry, where M is replaced by an algebraic curve X (defined over an algebraically closed field k) and E by the classifying stack BG of a smooth affine group scheme over X. This chapter lays the groundwork by constructing an analogue of the functor B.
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Chapter Five The Trace Formula for BunG(X) Chapter Two. The Formalism of ℓ-adic Sheaves Frontmatter Chapter Four. Computing the Trace of Frobenius Chapter Three. E∞-Structures on ℓ-Adic Cohomology
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