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On Cooperads and Coconnective Coalgebras
On Cooperads and Coconnective Coalgebras
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103552
- ISBN
- 9798288862373
- DDC
- 510
- 저자명
- Chen, Dennis.
- 서명/저자
- On Cooperads and Coconnective Coalgebras
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 98 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Nadler, David.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약We discuss the connection between coalgebras over a cooperad and formal moduli problems, following ideas by Hinich [Hin01a] who thought of coalgebras as formal stacks. We first set up the theory of coalgebras over a cooperad, as well as their tangent complexes and comodules. We show that the costabilization of coalgebras give comodules, just like with algebras and modules. Then we develop a notion of coalgebraic formal moduli problems (FMPs) and compare them with coalgebras, following Lurie's techniques of comparing FMPs with algebras [Lur18]. Lastly we relate the comparison between coalgebras and FMPs with Lurie's comparison with algebras, and relate it to Koszul duality as well as bar/cobar duality.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 일반주제명
- Applied mathematics
- 일반주제명
- Theoretical physics
- 키워드
- Coalgebras
- 키워드
- Rectification
- 키워드
- Koszul duality
- 기타저자
- University of California, Berkeley Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103552
■006m o d
■007cr#unu||||||||
■020 ▼a9798288862373
■035 ▼a(MiAaPQ)AAI32041875
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aChen, Dennis.
■24510▼aOn Cooperads and Coconnective Coalgebras
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a98 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Nadler, David.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aWe discuss the connection between coalgebras over a cooperad and formal moduli problems, following ideas by Hinich [Hin01a] who thought of coalgebras as formal stacks. We first set up the theory of coalgebras over a cooperad, as well as their tangent complexes and comodules. We show that the costabilization of coalgebras give comodules, just like with algebras and modules. Then we develop a notion of coalgebraic formal moduli problems (FMPs) and compare them with coalgebras, following Lurie's techniques of comparing FMPs with algebras [Lur18]. Lastly we relate the comparison between coalgebras and FMPs with Lurie's comparison with algebras, and relate it to Koszul duality as well as bar/cobar duality.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■650 4▼aApplied mathematics
■650 4▼aTheoretical physics
■653 ▼aFormal moduli problems
■653 ▼aCoalgebras
■653 ▼aDeformation theory
■653 ▼aRectification
■653 ▼aKoszul duality
■690 ▼a0405
■690 ▼a0642
■690 ▼a0753
■690 ▼a0364
■71020▼aUniversity of California, Berkeley▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357727▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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