{"title":"l进上同调上的E∞-结构","authors":"D. Gaitsgory, J. Lurie","doi":"10.23943/princeton/9780691182148.003.0003","DOIUrl":null,"url":null,"abstract":"For applications to Weil's conjecture, a version of (3.1) is formulated in the setting of algebraic geometry, where M is replaced by an algebraic curve X (defined over an algebraically closed field k) and E by the classifying stack BG of a smooth affine group scheme over X. This chapter lays the groundwork by constructing an analogue of the functor B.","PeriodicalId":117918,"journal":{"name":"Weil's Conjecture for Function Fields","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"E∞-Structures on l-Adic Cohomology\",\"authors\":\"D. Gaitsgory, J. Lurie\",\"doi\":\"10.23943/princeton/9780691182148.003.0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For applications to Weil's conjecture, a version of (3.1) is formulated in the setting of algebraic geometry, where M is replaced by an algebraic curve X (defined over an algebraically closed field k) and E by the classifying stack BG of a smooth affine group scheme over X. This chapter lays the groundwork by constructing an analogue of the functor B.\",\"PeriodicalId\":117918,\"journal\":{\"name\":\"Weil's Conjecture for Function Fields\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-02-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Weil's Conjecture for Function Fields\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23943/princeton/9780691182148.003.0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Weil's Conjecture for Function Fields","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23943/princeton/9780691182148.003.0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
For applications to Weil's conjecture, a version of (3.1) is formulated in the setting of algebraic geometry, where M is replaced by an algebraic curve X (defined over an algebraically closed field k) and E by the classifying stack BG of a smooth affine group scheme over X. This chapter lays the groundwork by constructing an analogue of the functor B.