论文标题

关于最大抛物线亚组的共同学的爱森斯坦功能

On the Eisenstein functoriality in cohomology for maximal parabolic subgroups

论文作者

Clozel, Laurent

论文摘要

In his paper, 'On torsion in the cohomology of locally symmetric varieties', Peter Scholze has introduced a new, purely topological method to construct the cohomology classes on arithmetic quotients of symmetric spaces of rational reductive groups originating from the cohomology of the similar quotients of Levi subgroups of maximal parabolic subgroups.我们将这种结构扩展到了他认为的案例之外,并在复杂的情况下,将其扩展到本地系统的共同体。

In his paper, 'On torsion in the cohomology of locally symmetric varieties', Peter Scholze has introduced a new, purely topological method to construct the cohomology classes on arithmetic quotients of symmetric spaces of rational reductive groups originating from the cohomology of the similar quotients of Levi subgroups of maximal parabolic subgroups. We extend this construction beyond the cases he considers, and, in the complex case, to the cohomology of local systems.

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