论文标题
具有$ pgl_n $中值的表示形式的潜在半稳定变形环
Potentially semi-stable deformation rings for representations with values in $PGL_n$
论文作者
论文摘要
我们通过将它们与$ gl_n $的变形戒指进行比较，研究了Galois表示的潜在半稳定变形环。作为一个应用程序，我们陈述了Breuil-Mézard猜想的类似物，并且我们表明$ pgl_n $的情况是从$ gl_n $的情况下出发的。
We study the potentially semi-stable deformation rings for Galois representations taking their values in $PGL_n$, by comparing them to the deformation rings for $GL_n$. As an application, we state an analogue of the Breuil-Mézard conjecture, and we show that the case of $PGL_n$ follows from the case of $GL_n$.
