几何艾森斯坦级数
Geometric Eisenstein series
摘要：
本文的目的是在几何朗兰兹对应的框架下发展爱森斯坦级数理论。我们的构造是基于对V.Drinfeld提出的曲线上抛物丛的模叠加的某些相对紧化的研究。作为应用，我们构造了正特征整体场的某些自守形式，从经典工具的观点来看，正特征整体场的存在性是不明显的。
英文摘要：
The purpose of this of this paper is to develop the theory of Eisenstein series in the framework of geometric Langlands correspondence. Our construction is based on the study of certain relative compactification of the moduli stack of parabolic bundles on a curve suggested by V.Drinfeld. As an application we construct certain automorphic forms for global fields of positive characteristic, whose existence is non-obvious from the point of view of classical tools.
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