{"title":"刚性内部扭曲的局部θ对应关系和朗兰兹参数","authors":"Hirotaka Kakuhama","doi":"arxiv-2409.00805","DOIUrl":null,"url":null,"abstract":"In this paper, we formulate a conjecture that describes the local theta\ncorrespondences in terms of the local Langland correspondences for rigid inner\ntwists, which contain the correspondences for quaternionic dual pairs.\nMoreover, we verify the conjecture holds in some specific cases.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Local theta correspondences and Langlands parameters for rigid inner twists\",\"authors\":\"Hirotaka Kakuhama\",\"doi\":\"arxiv-2409.00805\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we formulate a conjecture that describes the local theta\\ncorrespondences in terms of the local Langland correspondences for rigid inner\\ntwists, which contain the correspondences for quaternionic dual pairs.\\nMoreover, we verify the conjecture holds in some specific cases.\",\"PeriodicalId\":501038,\"journal\":{\"name\":\"arXiv - MATH - Representation Theory\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Representation Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.00805\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Local theta correspondences and Langlands parameters for rigid inner twists
In this paper, we formulate a conjecture that describes the local theta
correspondences in terms of the local Langland correspondences for rigid inner
twists, which contain the correspondences for quaternionic dual pairs.
Moreover, we verify the conjecture holds in some specific cases.
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