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Universal Monodromic Hecke Categories
Universal Monodromic Hecke Categories
Universal Monodromic Hecke Categories

Detailed Information

자료유형  
 학위논문 서양
최종처리일시  
20260202103601
ISBN  
9798288862571
DDC  
510
저자명  
Taylor, Jeremy.
서명/저자  
Universal Monodromic Hecke Categories
발행사항  
[Sl] : University of California, Berkeley, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
106 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 prove the tamely ramified Betti local Langlands correspondence. This is a family of equivalences over the dual torus, and formal completion at the identity recovers Bezraukvnikov's equivalence.Whereas Arkhipov-Bezrukavnikov localize in nilpotent directions, we prove fully faithfulness by localizing in semi-simple directions, thereby reducing to an order of vanishing calculation in semi-simple rank one.This thesis is based on three papers, two of which are joint work with Gurbir Dhillon.
일반주제명  
Mathematics
일반주제명  
Theoretical mathematics
키워드  
Universal monodromic sheaves
키워드  
Tilting sheaves
키워드  
Universal sheaves
키워드  
Endomorphismensatz
키워드  
Bimonodromy
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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■035    ▼a(MiAaPQ)AAI32042459
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a510
■1001  ▼aTaylor,  Jeremy.
■24510▼aUniversal  Monodromic  Hecke  Categories
■260    ▼a[Sl]▼bUniversity  of  California,  Berkeley▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a106  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  prove  the  tamely  ramified  Betti  local  Langlands  correspondence.  This  is  a  family  of  equivalences  over  the  dual  torus,  and  formal  completion  at  the  identity  recovers  Bezraukvnikov's  equivalence.Whereas  Arkhipov-Bezrukavnikov  localize  in  nilpotent  directions,  we  prove  fully  faithfulness  by  localizing  in  semi-simple  directions,  thereby  reducing  to  an  order  of  vanishing  calculation  in  semi-simple  rank  one.This  thesis  is  based  on  three  papers,  two  of  which  are  joint  work  with  Gurbir  Dhillon.
■590    ▼aSchool  code:  0028.
■650  4▼aMathematics
■650  4▼aTheoretical  mathematics
■653    ▼aUniversal  monodromic  sheaves
■653    ▼aTilting  sheaves
■653    ▼aUniversal  sheaves
■653    ▼aEndomorphismensatz
■653    ▼aBimonodromy
■690    ▼a0405
■690    ▼a0642
■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=T17357793▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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