由整体-局部尖点表示和伽罗瓦表示变形引起的哥德巴赫猜想
The Goldbach conjecture resulting from global-local cuspidal representations and deformations of Galois representations
摘要:
在Langlands整体程序的基本一般框架下,由p次根覆盖的局部p-adic椭圆半模构造了对应于局部(左)尖点形式的局部p-adic椭圆半模.在相同的背景下,全球和本地的双线性变形的伽罗瓦表示诱导其各自的剩余域的不变性,以及全球和本地的双线性量子变形留下不变的顺序的惯性子群。更具体地说,导致其分裂的闭曲线的逆量子形变直接导致哥德巴赫猜想。
英文摘要:
In the basic general frame of the Langlands global program, a local p-adic elliptic semimodule corresponding to a local (left) cuspidal form is constructed from its global equivalent covered by p-th roots. In the same context, global and local bilinear deformations of Galois representations inducing the invariance of their respective residue fields are introduced as well as global and local bilinear quantum deformations leaving invariant the orders of the inertia subgroups. More particularly, the inverse quantum deformation of a closed curve responsible for its splitting directly leads to the Goldbach conjecture.
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