CM域上的p-adic Artin L函数

2022年4月27日 16:00-17:00

稿件来源:Takashi Hara 副教授 发布人:叶海霞

讲座时间 Datetime: 2022年4月27日,星期三, 16:00-17:00

地点 Venue: Zoom  Meeting ID: 894 6999 7231

报告人 Speaker:Takashi Hara

单位 Affiliation: 津田塾大学

报告摘要 Abstract:

We explain how to construct p-adic Artin L-functions for (p-ordinary) CM fields, which interpolate critical values of Hecke L-functions twisted by a fixed Artin representation. Our strategy is based upon Greenberg's patching construction of p-adic Artin L-functions for totally real fields, but one observes new phenomena and difficulties in the CM case. In this talk we would especially focus on differences between Greenberg's work and ours. This is joint work with Tadashi Ochiai.