Special cycles on moduli spaces of G-shtukas (A03)

G-shtukas 模空间上的特殊循环 (A03)

• 批准号: 444016377
• 金额: --
• 依托单位: Mathematisches Institut
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 财政年份: 2020
• 资助国家: 德国
• 起止时间: 2019-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/444016377?language=en
• 关键词: Special; cycles; moduli; spaces; shtukas

Moduli stacks of global G-shtukas are the function field analogue of Shimura varieties. Their geometry was investigated by the PI and his collaborators. The long term goal of the project is to investigate arithmetic properties of these moduli stacks, special cycles on them and the intersection numbers of the latter. In particular, we want to develop a function field analogue of the Kudla programme for Shimura varieties and prove arithmetic fundamental lemmas for function fields.

全球G-shtukas的模量堆栈是志村品种的功能领域的类似物。PI和他的合作者研究了它们的几何形状。该项目的长期目标是研究这些模栈的算术性质，它们上的特殊循环以及后者的交集数。特别是，我们要开发一个功能域模拟的Kudla计划志村品种和证明算术基本引理的功能域。