Iwasawa theory and Selmer schemes I

讲座时间 Datetime: 2022年5月11日，星期三，16:00-17:00

地点 Venue: Zoom Meeting ID: 894 6999 7231  

主持人 Host：秦超

报告人 Speaker: Dohyeong Kim

单位 Affiliation:Seoul National University

报告摘要 Abstract:

Selmer schemes generalize Selmer groups by allowing non-abelian coefficients. Given the success of Iwasawa theory in the study of Selmer groups, it is natural to wonder whether its non-abelian analogue can be analyzed using similar tools. In the first talk, I will build upon Sakugawa's work on torsion Selmer pointed sets and extend his result. In the second talk, I will focus on the elliptic case of the non-abelian Chabauty method. I will explain how a p-adic L-function can help us verify new cases of the dimension hypothesis.