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数苑学术沙龙:An overview of Iwasawa theory

Time:2015-04-29  Author:  ClickTimes:
Title数苑学术沙龙:An overview of Iwasawa theory
Speaker林明辉 副教授 js6666金沙登录入口
Date/Time2015年5月7日(周四)下午4点
Place6401
Abstract
Brief Introduction to Speaker

摘要:One of the most challenging topic in number theory is to understand the mysterious relationship between the special values of complex L-functions and arithmetic objects like class groups, Selmer groups etc. At present, Iwasawa theory provides the only known general method for studying these problems. In this talk, I will give an overview of Iwasawa theory and describe the motivation behind the reason of its study. This talk will be expository (as possible). In the event if time permits, I will also briefly mention some of my work concerning about the study of the Selmer groups over an infinite (possibly noncommutative) extension of a number field and describe how they correlate with the theme.