论Frenkel-Gross联络的物理刚性
On the physically rigidity of Frenkel-Gross connection
摘要:
我们证明了$\mathbb{G}_m$上的Frenkel-Gross联络是物理刚性的,是$\check{G}$ -联络,从而证实了Heinloth-Ngô-Yun猜想的de Rham版本.证明的基础是构造的Hecke本征层的连接只有一般的oper结构,使用Weyl模的局部化。
英文摘要:
We show that the Frenkel-Gross connection on $\mathbb{G}_m$ is physically rigid as $\check{G}$-connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun. The proof is based on the construction of the Hecke eigensheaf of a connection with only generic oper structure, using the localization of Weyl modules.
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