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Connectedness of the b-Admissible Loci of the BdR-Grassmannian
Connectedness of the b-Admissible Loci of the BdR-Grassmannian
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105112
- ISBN
- 9798293895007
- DDC
- 510
- 저자명
- Jiang, Zixin.
- 서명/저자
- Connectedness of the b-Admissible Loci of the BdR-Grassmannian
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 47 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
- 주기사항
- Advisor: Shin, Sug Woo.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약The BdR-Grassmannian is an important tool for studying p-adic period doimains, which play a fundamental role in p-adic Hodge theory. In this dissertation we prove that the b-admissible loci in the BdR-Grassmannian are geometrically connected. This proves a conjecture of Hartl. Using Scholze's theory of p-adic geometry and diamonds, we are able to formulate and prove the statement in full generality, and in a concise way. This result is applicable to studying connected components of affine Deligne-Lusztig varieties in more generality. Such an application is expected to be useful in that the previous results on the connected components of affine Deligne-Lusztig varieties played an important role in Kisin's proof of his isogeny lifting theorem.
- 일반주제명
- Mathematics
- 일반주제명
- Applied mathematics
- 키워드
- Scholze's theory
- 기타저자
- University of California, Berkeley Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798293895007
■035 ▼a(MiAaPQ)AAI32237126
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aJiang, Zixin.
■24510▼aConnectedness of the b-Admissible Loci of the BdR-Grassmannian
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a47 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-04, Section: B.
■500 ▼aAdvisor: Shin, Sug Woo.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aThe BdR-Grassmannian is an important tool for studying p-adic period doimains, which play a fundamental role in p-adic Hodge theory. In this dissertation we prove that the b-admissible loci in the BdR-Grassmannian are geometrically connected. This proves a conjecture of Hartl. Using Scholze's theory of p-adic geometry and diamonds, we are able to formulate and prove the statement in full generality, and in a concise way. This result is applicable to studying connected components of affine Deligne-Lusztig varieties in more generality. Such an application is expected to be useful in that the previous results on the connected components of affine Deligne-Lusztig varieties played an important role in Kisin's proof of his isogeny lifting theorem.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aApplied mathematics
■653 ▼aDeligne-Lusztig varieties
■653 ▼aScholze's theory
■653 ▼aIsogeny lifting theorem
■690 ▼a0405
■690 ▼a0364
■71020▼aUniversity of California, Berkeley▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-04B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359386▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
