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(万昕)Rankin-Selberg 积的Iwasawa主猜想
2019-12-12 | 编辑:

  bsdcaixiangshiclayshuxueyanjiusuotichude7daqianxinianshuxuenantizhiyi。tashiyanjiutuoyuanquxiandejiexil-hanshuhetadesuanshuxingzhizhijiandeguanxi。yanzelilunshiyanjiubsdgongjudeyouligongjuzhiyi。jinnianlai,renmenguanyubsdcaixiangheyanzelilundeyanjiuyouleyixietupoxingdechengguo,qizhongbaokuo: gross-zagier-kolyvaginguanyutuoyuanquxianzhidedinglidenidingli;tuoyuanquxianyanzelilundezhucaixiangdezhengming;jingquebsdgongshizaijiexizhiwei0,1shidepbufen。beijingkuaile8ruanjiandeguanyurankin-selbergjideyanzezhucaixiangdeyibianzhengchuguanxi(selmerqundexiajie)dejieguoshiyishangzheixiezhongyaojinzhandelilunjichu。

  jutieryan,gudingyigesushup,beijingkuaile8ruanjiankaolvyigeyibandemoxingshifheyigezaipchuzhengguidemoxingshigderankin-selbergji,beijingkuaile8ruanjianzhengminglezheigeduixiangdeselmerqundetezhenglixiangnenggoubeitadepjinl-hanshuzhengchu。beijingkuaile8ruanjiandezhengmingliyonglefeifenlieyouqunu(3,1)shangdeaisensitanxuliehejianxingshidetongyudeyanjiu。2014nianskinner-urban (invent. math.) liyongfenlieyouqunu(2,2)zhengminglezhengguiqingxingdeyanzezhucaixiang。beijingkuaile8ruanjiandeqingxing(u(3,1))yuanweigengjiakunnan,xuyaogengfuzahejishuxingdefenxi,yeyougengguangfandeyingyong。

  xiangguanlunwen:

  xin wan, iwasawa main conjecture for rankin-selberg p-adic l-functions, to appear in algebra and number theory, 2019.

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