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Tate Classes and Endoscopy for GSp(4) over Totally Real Fields
Tate Classes and Endoscopy for GSp(4) over Totally Real Fields
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151438
- ISBN
- 9798382776934
- DDC
- 510
- 저자명
- Sweeting, Naomi.
- 서명/저자
- Tate Classes and Endoscopy for GSp(4) over Totally Real Fields
- 발행사항
- [Sl] : Harvard University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 91 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Kisin, Mark.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2024.
- 초록/해제
- 요약The theory of endoscopy predicts the existence of large families of Tate classes on certain products of Shimura varieties, and it is natural to ask in what cases one can construct algebraic cycles giving rise to these Tate classes. This thesis takes up the case of Tate classes arising from the Yoshida lift: these are Tate cycles in middle degree on the Shimura variety for the group ResF/Q(GL2 x GSp4 ), where F is a totally real field. A special case is the family of Tate classes which reflect the appearance of two-dimensional Galois representations in the middle cohomology of both a modular curve and a Siegel modular threefold. We show that a natural algebraic cycle generates exactly the Tate classes which are associated to generic members of the endoscopic L-packets on GSp4,F . In the non-generic case, we give an alternate construction, which shows that the predicted Tate classes arise from Hodge cycles.
- 일반주제명
- Mathematics
- 일반주제명
- Physics
- 일반주제명
- Applied mathematics
- 키워드
- Endoscopy
- 키워드
- Cohomology
- 키워드
- Hodge cycles
- 키워드
- Algebraic cycle
- 기타저자
- Harvard University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
■007cr#unu||||||||
■020 ▼a9798382776934
■035 ▼a(MiAaPQ)AAI31295807
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aSweeting, Naomi.▼0(orcid)0000-0002-9135-4028
■24510▼aTate Classes and Endoscopy for GSp(4) over Totally Real Fields
■260 ▼a[Sl]▼bHarvard University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a91 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Kisin, Mark.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2024.
■520 ▼aThe theory of endoscopy predicts the existence of large families of Tate classes on certain products of Shimura varieties, and it is natural to ask in what cases one can construct algebraic cycles giving rise to these Tate classes. This thesis takes up the case of Tate classes arising from the Yoshida lift: these are Tate cycles in middle degree on the Shimura variety for the group ResF/Q(GL2 x GSp4 ), where F is a totally real field. A special case is the family of Tate classes which reflect the appearance of two-dimensional Galois representations in the middle cohomology of both a modular curve and a Siegel modular threefold. We show that a natural algebraic cycle generates exactly the Tate classes which are associated to generic members of the endoscopic L-packets on GSp4,F . In the non-generic case, we give an alternate construction, which shows that the predicted Tate classes arise from Hodge cycles.
■590 ▼aSchool code: 0084.
■650 4▼aMathematics
■650 4▼aPhysics
■650 4▼aApplied mathematics
■653 ▼aEndoscopy
■653 ▼aCohomology
■653 ▼aHodge cycles
■653 ▼aAlgebraic cycle
■690 ▼a0405
■690 ▼a0605
■690 ▼a0364
■71020▼aHarvard University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161739▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
