Derived structures in the Langlands Correspondence

Tony Feng, Michael Harris
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Abstract

We survey several recent examples of derived structures emerging in connection with the Langlands correspondence. Cases studies include derived Galois deformation rings, derived Hecke algebras, derived Hitchin stacks, and derived special cycles. We also highlight some open problems that we expect to be important for future progress.
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朗兰兹对应中的衍生结构
我们考察了最近出现的与朗兰兹对应关系有关的派生结构的几个例子。案例研究包括派生伽罗瓦变形环、派生赫克代数、派生希钦堆栈和派生特殊循环。我们还强调了一些对未来进展具有重要意义的未决问题。
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