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On G-Isoshtuka and Igusa Varieties Over Function Fields
On G-Isoshtuka and Igusa Varieties Over Function Fields
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105157
- ISBN
- 9798265450357
- DDC
- 510
- 서명/저자
- On G-Isoshtuka and Igusa Varieties Over Function Fields
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 198 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-06, Section: B.
- 주기사항
- Advisor: Taylor, Richard Lawrence.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약We make a detailed study of local and global shtuka and their associated moduli stacks. Using an approach generalizing earlier work of Zink, Mantovan, and Caraiani- Scholze in the number field setting, we construct Igusa varieties associated to quite general reductive algebraic groups over the function field of an algebraic curve over a finite field. Using these Igusa varieties we uniformize the Newton strata of the special fibers of the moduli stacks of global G-shtuka with certain global boundedness conditions, when the group G is everywhere tamely ramified. Using this uniformization we give a formula for the l-adic cohomology of these Newton strata with constant coefficients. We also prove the existence of certain natural isomorphisms of Igusa varieties associated to groups G, G' which are extended pure inner forms.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Function fields
- 키워드
- Igusa varieties
- 키워드
- Shtuka
- 기타저자
- Princeton University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
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■020 ▼a9798265450357
■035 ▼a(MiAaPQ)AAI32243401
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aSempliner, Jack Wood.
■24510▼aOn G-Isoshtuka and Igusa Varieties Over Function Fields
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a198 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-06, Section: B.
■500 ▼aAdvisor: Taylor, Richard Lawrence.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aWe make a detailed study of local and global shtuka and their associated moduli stacks. Using an approach generalizing earlier work of Zink, Mantovan, and Caraiani- Scholze in the number field setting, we construct Igusa varieties associated to quite general reductive algebraic groups over the function field of an algebraic curve over a finite field. Using these Igusa varieties we uniformize the Newton strata of the special fibers of the moduli stacks of global G-shtuka with certain global boundedness conditions, when the group G is everywhere tamely ramified. Using this uniformization we give a formula for the l-adic cohomology of these Newton strata with constant coefficients. We also prove the existence of certain natural isomorphisms of Igusa varieties associated to groups G, G' which are extended pure inner forms.
■590 ▼aSchool code: 0181.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aAlgebraic geometry
■653 ▼aFunction fields
■653 ▼aIgusa varieties
■653 ▼aLanglands program
■653 ▼aShtuka
■690 ▼a0405
■690 ▼a0642
■71020▼aPrinceton University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-06B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359677▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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