LDR | | 00000nam u2200205 4500 |
001 | | 000000435789 |
005 | | 20200228105404 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
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▼a 9781088326862 |
035 | |
▼a (MiAaPQ)AAI13903610 |
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▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Zhou, Yiwen. |
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▼a Completed Cohomology and Iwasawa Theory. |
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▼a [S.l.]:
▼b The University of Chicago.,
▼c 2019. |
260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 90 p. |
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▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
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▼a Advisor: Emerton, Matthew |
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▼a Thesis (Ph.D.)--The University of Chicago, 2019. |
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▼a This item must not be sold to any third party vendors. |
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▼a This item must not be added to any third party search indexes. |
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▼a 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. |
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▼a School code: 0330. |
650 | 4 |
▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a The University of Chicago.
▼b Mathematics. |
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▼t Dissertations Abstracts International
▼g 81-04B. |
773 | |
▼t Dissertation Abstract International |
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▼a 0330 |
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▼a Ph.D. |
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▼a 2019 |
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▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492473
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
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▼a 202002
▼f 2020 |
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▼a ***1008102 |
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▼a E-BOOK |