Justin Campbell, Lin Chen, Joakim Faergeman, Dennis Gaitsgory, Kevin Lin, Sam Raskin, Nick Rozenblyum
{"title":"Proof of the geometric Langlands conjecture III: compatibility with parabolic induction","authors":"Justin Campbell, Lin Chen, Joakim Faergeman, Dennis Gaitsgory, Kevin Lin, Sam Raskin, Nick Rozenblyum","doi":"arxiv-2409.07051","DOIUrl":null,"url":null,"abstract":"We establish the compatibility of the Langlands functor with the operations\nof Eisenstein series constant term, and deduce that the Langlands functor\ninduces an equivalence on Eisenstein-generated subcategories.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07051","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We establish the compatibility of the Langlands functor with the operations
of Eisenstein series constant term, and deduce that the Langlands functor
induces an equivalence on Eisenstein-generated subcategories.