慶應義塾大学 理工学部 数理科学科

臨時整数論セミナー

タイトル Pseudo-null Modules in Iwasawa Theory
開催日時 2017年7月8日 14:00-15:00
主催者
講演者 Ralph Greenberg 氏(University of Washington)
場所 慶應義塾大学 矢上キャンパス
14 棟 2 階 201 号室
内容 One aspect of Iwasawa theory concerns the characteristic ideal of a naturally occurring Iwasawa module, giving a relationship between that ideal and a $p$-adic $L$-function.
However, sometimes an interesting Iwasawa module turns out to be pseudo-null, or at least conjecturally pseudo-null. The characteristic ideal of a pseudo-null module is trivial even though the module itself may be nontrivial.
Is there something that one can say which relates the structure of such a pseudo-null Iwasawa module to $p$-adic $L$-functions?
This talk will describe one very special situation in which such a relationship can be established.
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