论文标题
从$ p $ - 模块化到$ p $ -ADIC langlands对应$ \ operatatOrName {u}(1,1)(\ Mathbb {Q} _ {p^2}/\ mathbb {q} _p {q} _p)
From $p$-modular to $p$-adic Langlands correspondences for $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$: deformations in the non-supercuspidal case
论文作者
论文摘要
本文调查了有关(猜想的)$ p $ - adic和$ p $ - 模块化的半模型Langlands对应,以对未造成的quasi-split单位$ \ propatatorName $ \ propatatorName {u}(u}(u}(u}(1,1,1))(\ mathbb {q} _ Q} _ {p^2})它尤其着重于变形理论的潜力与这些对应关系。
This paper surveys what is known about (conjectural) $p$-adic and $p$-modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split unitary group $\operatorname{U}(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)$. It focuses in particular on the potential of deformation theory to relate these correspondences.