Yu超尖表示的局部Langlands函子性 II：Fargues--Scholze参数化
Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization
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中文总结 AI 辅助
本文通过计算Yu构造尖点表示的Tate上同调，结合模函子性，比较Fargues--Scholze与Kaletha参数化，证明前者具有有限纤维且满射到惯性L-参数。
中文摘要 AI 辅助
这是两篇致力于Fargues--Scholze对应显式计算的论文中的第二篇。我们计算了由Yu构造产生的尖点表示的Tate上同调。将此与局部Langlands对应中的模函子性以及第一篇论文中建立的局部Langlands对应的部分刻画相结合，我们比较了Fargues--Scholze参数化与Kaletha参数化。在诸多推论中（并在一个预期由后续工作提供的假设下），我们推导出Fargues--Scholze对应具有有限纤维，并且是到惯性L-参数上的满射。
英文摘要
This is the second of two papers dedicated to the explicit computation of the Fargues--Scholze correspondence. We compute the Tate cohomology of cuspidal representations arising from Yu's construction. Combining this with modular functoriality in the Local Langlands Correspondence, independence of $\ell$, and the partial characterization of the Local Langlands Correspondence established in the first paper, we compare the Fargues--Scholze and Kaletha parametrizations. Among the consequences, we deduce that the Fargues--Scholze correspondence has finite fibers and is surjective onto inertial L-parameters.
