10-31吴文俊数学重点实验室代数学系列报告之138【林明辉】

时间:2018-10-23

报告题目: Variation of class groups and Selmer groups in infinite pro-p tower
报告人:林明辉,华中师范大学
时间:10月31日(周三)下午4:00-5:00
地点:东区第五教学楼 5106教室
摘要: In 1959, Iwasawa first derived his celebrated formula which describes the growth of the p-exponents of the class groups in a Zp-extension. A natural direction of study is to consider analogus formulas for other p-adic Lie extensions. Another direction was taken up by Mazur, where he applied Iwasawa's philosphy to study the growth of the Mordell-Weil rank of an abelian variety over a Zp-extension. In this talk, we shall survey some of the research activities revolving around these studies.


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