论文标题
通过Chenevier和Lannes的结果，模量空间的共同体学
Cohomology of moduli spaces via a result of Chenevier and Lannes
论文作者
论文摘要
我们将Chenevier和Lannes的分类结果用于代数自动形式表示，以及带有$ \ ell $ - $ - $ - $ - $ - ad的绝对Galois表示形式来确定欧拉的特征（在Grothendieck组中具有$ \ Mathcal m} \ Mathcal m} _} $ n}的$ \ Mathcal m} _} $ callendieck Group的值m_ {3，n} $ for $ n \ leq 14 $和local Systems $ \ mathbb {v}_λ$ on $ \ m athcal {a} _3 $ for $ |λ| \ leq 16 $。
We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with $\ell$-adic absolute Galois representations to determine the Euler characteristics (with values in the Grothendieck group of such representations) of $\overline{\mathcal M}_{3,n}$ and $\mathcal M_{3,n}$ for $n \leq 14$ and of local systems $\mathbb{V}_λ$ on $\mathcal{A}_3$ for $|λ| \leq 16$.
