AI 中文总结
本文为两篇系列论文之首，受Kaletha工作启发，为Yu构造的所有尖点表示构造任意系数的半单惯性L-参数，并基于函子性性质刻画对应，为后续计算Fargues–Scholze对应奠定基础。
AI 中文摘要
这是两篇致力于显式计算Fargues–Scholze对应的论文中的第一篇。在第一部分中，我们（受Kaletha对非奇异超尖点表示的显式局部Langlands对应的启发并加以推广）为所有由Yu构造产生的尖点表示构造了具有任意系数的半单惯性L-参数。随后，我们根据某些函子性性质建立了该对应的刻画。这一刻画将在后续论文中用于计算限制到惯性后的Fargues–Scholze对应。
英文摘要
This is the first of two papers dedicated to the explicit computation of the Fargues--Scholze correspondence. In this first part, we construct (inspired by, and extending, Kaletha's explicit Local Langlands Correspondence for non-singular supercuspidal representations) semisimple inertial L-parameters for all cuspidal representations arising from Yu's constructions, with arbitrary coefficients. We then establish a characterization of this correpondence in terms of certain functoriality properties. This characterization will be used in the sequel paper in order to compute the Fargues--Scholze correspondence after restriction to inertia.
Comments64 pages, comments welcome! v2: minor edits
