论文标题
在本地田地上的盘子猜想
The plectic conjecture over local fields
论文作者
论文摘要
使用融合的混合特征化身，我们证明了Neková列-Choll的类似物，用于局部Shimura品种的plet型猜想。我们将其应用于限制为分解组后（全局）Shimura品种的PLECTIC猜想的结果。在此过程中，我们证明了Abelian型Shimura品种在Hyperspecial水平上的基本基因座的$ P $ ADIC均匀化定理，这是独立的。
Using a mixed-characteristic incarnation of fusion, we prove an analog of Nekovář-Scholl's plectic conjecture for local Shimura varieties. We apply this to obtain results on the plectic conjecture for (global) Shimura varieties after restricting to a decomposition group. Along the way, we prove a $p$-adic uniformization theorem for the basic locus of abelian type Shimura varieties at hyperspecial level, which is of independent interest.
