论文标题
自动形式的刚性方法超过功能字段
Rigidity method for automorphic forms over function fields
论文作者
论文摘要
这些是2022年亚利桑那冬季学校的讲座。它介绍了用于在功能字段上为半密布组构建自动形式的刚性方法。刚性方法导致了局部系统的明确结构，这些系统是自动形式的兰兰兹参数。以这种方式生产的本地系统的示例在代数几何学和数字理论中都有应用。
These are lectures given at the 2022 Arizona Winter School. It gives an introduction to the rigidity method for constructing automorphic forms for semisimple groups over function fields. The rigidity method leads to explicit constructions of local systems that are Langlands parameters of automorphic forms. The examples of local systems produced in this way have applications to algebraic geometry and number theory.
