论文标题
Fargues构想的分类形式
The categorical form of Fargues' conjecture for tori
论文作者
论文摘要
在Tori的情况下，我们证明了Arxiv：2102.13459的主要猜想，并证明它是T-ectact。在此过程中，我们证明该手稿中构建的光谱动作与游览代数的作用兼容，并将分级保留在两侧的$π_1（g）_q $。我们还开发了（非固化的）凝结组（CO）同源性的（非固化的）版本，并表明许多来自古典组（CO）同源性的构造扩展到该情况。
We prove the main conjecture of arXiv:2102.13459 for integral coefficients in the case of tori and prove that it is t-exact. Along the way we prove that the spectral action as constructed in that manuscript is compatible with the action of the excursion algebra and preserves the grading by $π_1(G)_Q$ on both sides. We additionally develop a (non-solidified) version of condensed group (co)homology and show that many constructions from classical group (co)homology extend to that case.
