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要证明最一般的 Bass-Quillen Conjecture， 可以首先解决如下极具启发性的特殊情形： Question: Let $ (R,\mathfrak{m}) $ be a complete regular local ring which has mixed characteristic $p>0$ and $R$ is unramified (i.e. $ p\notin \mathfrak{m}^{2} $). Then every finite projective $ R[X] $-module is free.

Modular forms, Modularity Lifting theorem and Fermat last theorem [Lecture] Fermat’s Last Theorem by Liang Xiao B站 Note [Lecture] Modularity Lifting by Patrick Allen B站 Notes on lecture by Wang [Lecture] Modularity lifting theorems by Toby Gee [Lecture] Fermat’s Last Theorem Conference (Summer 1995) The video is not clear enough, you ...