{"title":"朗兰兹对应中的衍生结构","authors":"Tony Feng, Michael Harris","doi":"arxiv-2409.03035","DOIUrl":null,"url":null,"abstract":"We survey several recent examples of derived structures emerging in\nconnection with the Langlands correspondence. Cases studies include derived\nGalois deformation rings, derived Hecke algebras, derived Hitchin stacks, and\nderived special cycles. We also highlight some open problems that we expect to\nbe important for future progress.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Derived structures in the Langlands Correspondence\",\"authors\":\"Tony Feng, Michael Harris\",\"doi\":\"arxiv-2409.03035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey several recent examples of derived structures emerging in\\nconnection with the Langlands correspondence. Cases studies include derived\\nGalois deformation rings, derived Hecke algebras, derived Hitchin stacks, and\\nderived special cycles. We also highlight some open problems that we expect to\\nbe important for future progress.\",\"PeriodicalId\":501038,\"journal\":{\"name\":\"arXiv - MATH - Representation Theory\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-04\",\"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-2409.03035\",\"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-2409.03035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Derived structures in the Langlands Correspondence
We survey several recent examples of derived structures emerging in
connection with the Langlands correspondence. Cases studies include derived
Galois deformation rings, derived Hecke algebras, derived Hitchin stacks, and
derived special cycles. We also highlight some open problems that we expect to
be important for future progress.
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