A toy model for the Drinfeld-Lafforgue shtuka construction
A toy model for the Drinfeld-Lafforgue shtuka construction
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Drinfeld-Lafforgue shtuka 结构的玩具模型
DOI：
10.1016/j.indag.2021.11.002
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Y. Varshavsky
中科院分区：
文献类型：
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作者：
D. Gaitsgory;D. Kazhdan;N. Rozenblyum;Y. Varshavsky
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）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。
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 ˇ) 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.
DOI：
10.1090/pspum/097.2/01698
发表时间：
2016-06
期刊：
Algebraic Geometry: Salt Lake City
2015
影响因子：
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作者：
David Ben-Zvi;D. Nadler
通讯作者：
David Ben-Zvi;D. Nadler