{"title":"p 自变量函数和 GL2(Qp) 表示","authors":"Pierre Colmez , Shanwen Wang","doi":"10.1016/j.jnt.2024.04.002","DOIUrl":null,"url":null,"abstract":"<div><p>We extend the dictionary between Fontaine rings and <em>p</em>-adic functionnal analysis, and we give a refinement of the <em>p</em>-adic local Langlands correspondence for principal series representations of <span><math><msub><mrow><mtext>GL</mtext></mrow><mrow><mn>2</mn></mrow></msub><mo>(</mo><msub><mrow><mi>Q</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>)</mo></math></span>.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fonctions d'une variable p-adique et représentations de GL2(Qp)\",\"authors\":\"Pierre Colmez , Shanwen Wang\",\"doi\":\"10.1016/j.jnt.2024.04.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We extend the dictionary between Fontaine rings and <em>p</em>-adic functionnal analysis, and we give a refinement of the <em>p</em>-adic local Langlands correspondence for principal series representations of <span><math><msub><mrow><mtext>GL</mtext></mrow><mrow><mn>2</mn></mrow></msub><mo>(</mo><msub><mrow><mi>Q</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>)</mo></math></span>.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022314X24001094\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022314X24001094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fonctions d'une variable p-adique et représentations de GL2(Qp)
We extend the dictionary between Fontaine rings and p-adic functionnal analysis, and we give a refinement of the p-adic local Langlands correspondence for principal series representations of .
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