论文标题
Eisenstein系列的多重性和应用程序的应用到$ GSP_4 $和$ G_2 $
Multiplicity of Eisenstein series in cohomology and applications to $GSp_4$ and $G_2$
论文作者
论文摘要
我们设置了一个通用框架，以计算某些自动形态表示形式出现在局部对称空间的Cuspidal和Eisenstein共同体中。我们将此机器应用于Eisenstein系列上的$ GSP_4 $，并拆分$ G_2 $。在$ G_2 $的情况下，我们还将使用Arthur的猜想获得有关某些CAP表示的Archimedean组件的新信息。
We set up a general framework to compute the exact multiplicity with which certain automorphic representations appear in both the cuspidal and Eisenstein cohomology of locally symmetric spaces. We apply this machinery to Eisenstein series on $GSp_4$ and split $G_2$. In the case of $G_2$, we will also obtain new information about the archimedean components of certain CAP representations using Arthur's conjectures.
