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Completed Cohomology and Iwasawa Theory
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Completed Cohomology and Iwasawa Theory. |
| 개인저자 | Zhou, Yiwen. |
| 단체저자명 | The University of Chicago. Mathematics. |
| 발행사항 | [S.l.]: The University of Chicago., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 90 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088326862 |
| 학위논문주기 | Thesis (Ph.D.)--The University of Chicago, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Emerton, Matthew |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | We compare two different constructions of cyclotomic p-adic L-functions for modular forms and their relationship to Galois cohomology: one using Kato's Euler system and the other using Emerton's p-adically completed cohomology of modular curves. At a more technical level, we prove the equality of two elements of a local Iwasawa cohomology group, one arising from Kato's Euler system, and the other from the theory of modular symbols and p-adic local Langlands correspondence for GL2(Qp). We show that this equality holds even in the cases when the construction of p-adic L-functions is still unknown (i.e. when the modular form f is supercuspidal at p). Thus, we are able to give some representation-theoretic descriptions of Kato's Euler system.We also compare two different constructions of anti-cyclotomic p-adic L-functions for modular forms on quaternion algebras: one defined by Bertolini and Darmon in [3] and the other using Emerton's p-adically completed cohomology of Shimura sets. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
