论文标题
普通的本地表示和$ \ ext $组
Ordinary local representations and $\Ext$ groups
论文作者
论文摘要
我们可以将$ \ gl_2（\ q_p）$的$π（ρ_p）$与每个本地的galois表示$ρ_p$与$ p $ adic adic本地langlands通讯相关联。如果$ρ_p$是普通的，我们证明了$ \ ext $函数相对于这些表示形式的本地和全局消失结果。
We can associate an admissible unitary representation $Π(ρ_p)$ of $\GL_2(\Q_p)$ with every local Galois representation $ρ_p$ by the $p$-adic local Langlands correspondence. If $ρ_p$ is ordinary, we prove local and global vanishing results for $\Ext$ functors with respect to these representations.
