{"title":"论 Frenkel-Gross 连接的物理刚性","authors":"Lingfei Yi","doi":"10.1007/s00029-024-00931-9","DOIUrl":null,"url":null,"abstract":"<p>We show that the Frenkel-Gross connection on <span>\\({\\mathbb {G}}_m\\)</span> is physically rigid as <span>\\(\\check{G}\\)</span>-connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun. The proof is based on the construction of the Hecke eigensheaf of a <span>\\(\\check{G}\\)</span>-connection with only generic oper structure, using the localization of Weyl modules.</p>","PeriodicalId":501600,"journal":{"name":"Selecta Mathematica","volume":"97 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the physical rigidity of Frenkel-Gross connection\",\"authors\":\"Lingfei Yi\",\"doi\":\"10.1007/s00029-024-00931-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We show that the Frenkel-Gross connection on <span>\\\\({\\\\mathbb {G}}_m\\\\)</span> is physically rigid as <span>\\\\(\\\\check{G}\\\\)</span>-connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun. The proof is based on the construction of the Hecke eigensheaf of a <span>\\\\(\\\\check{G}\\\\)</span>-connection with only generic oper structure, using the localization of Weyl modules.</p>\",\"PeriodicalId\":501600,\"journal\":{\"name\":\"Selecta Mathematica\",\"volume\":\"97 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Selecta Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00029-024-00931-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Selecta Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00029-024-00931-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the physical rigidity of Frenkel-Gross connection
We show that the Frenkel-Gross connection on \({\mathbb {G}}_m\) is physically rigid as \(\check{G}\)-connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun. The proof is based on the construction of the Hecke eigensheaf of a \(\check{G}\)-connection with only generic oper structure, using the localization of Weyl modules.
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