论数域塔中算术对象的增长

讲座时间 Datetime: 2022年4月6日，星期三，16:00-17:00

地点 Venue: Zoom Meeting : 894 6999 7231

报告人 Speaker: Meng-Fai Lim

单位 Affiliation: 华中师范大学

报告摘要 Abstract:

The essence of Iwasawa theory is to study arithmetic objects via their variations in a tower of number fields. The theory was first initated by Iwasawa in the 1960s to study the growth of the Sylow p-subgroup of the class groups in the intermediate subfields of a Zp-extension of a number field F. The study has since been extended to considering even K-groups, Mordell-Weil groups, Tate-Shafarevich groups, fine Selmer groups, etale wild kernels and various arithmetic objects over a p-adic Lie extension. In this talk, we hope to give an overview and survey of these development.