Drinfeld-Lafforgue shtuka结构的玩具模型
A toy model for the Drinfeld-Lafforgue shtuka construction
摘要：
本文的目标是提供一个范畴框架，导致定义shtukas德拉Drinfeld和游览运营商德拉V. Lafforgue。我们以Rep（G^L）在Bun_G上的层范畴Shv（Bun_G）上的Hecke作用以及由几何Frobenius作用给出的后一范畴的闭函子作为出发点。shtuka结构将通过应用（各种版本的）范畴迹来获得。
英文摘要：
The goal of this paper is to provide a categorical framework that leads to the definition of shtukas à la Drinfeld and of excursion operators à la V. Lafforgue. We take as the point of departure the Hecke action of Rep(G^L) on the category Shv(Bun_G) of sheaves on Bun_G, and also the endofunctor of the latter category, given by the action of the geometric Frobenius. The shtuka construction will be obtained by applying (various versions of) categorical trace.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
