{"title":"应用上同调的讲座","authors":"É. Fouvry, E. Kowalski, P. Michel, W. Sawin","doi":"10.1090/conm/740/14903","DOIUrl":null,"url":null,"abstract":"We describe how a systematic use the deep methods from $\\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on various classical questions from analytic number theory. This text is an extended version of a series of lectures given by the third and fourth authors during the 2016 Arizona Winter School.","PeriodicalId":344558,"journal":{"name":"Analytic Methods in Arithmetic\n Geometry","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Lectures on applied ℓ-adic cohomology\",\"authors\":\"É. Fouvry, E. Kowalski, P. Michel, W. Sawin\",\"doi\":\"10.1090/conm/740/14903\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe how a systematic use the deep methods from $\\\\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on various classical questions from analytic number theory. This text is an extended version of a series of lectures given by the third and fourth authors during the 2016 Arizona Winter School.\",\"PeriodicalId\":344558,\"journal\":{\"name\":\"Analytic Methods in Arithmetic\\n Geometry\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analytic Methods in Arithmetic\\n Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/conm/740/14903\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analytic Methods in Arithmetic\n Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/conm/740/14903","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe how a systematic use the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on various classical questions from analytic number theory. This text is an extended version of a series of lectures given by the third and fourth authors during the 2016 Arizona Winter School.
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