On Two Dimensional Potentially Barsotti-Tate Deformation Rings

来源 :第二届中法算术代数几何会议(SFCAG 2016) | 被引量 : 0次 | 上传用户：Fishfag

【摘要】

：

　　Let F be a finite unramified extension of Qp and(ρ)be a two dimensional residual representation of Gal((F)=F).We compare certain different deformation prob

【作者】

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Yongquan Hu

【机构】

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AcademyofMathematicsandSystemsScienceandMorningsideCenterofMathematics,ChineseAcademyofSciences,Chin

【出处】

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第二届中法算术代数几何会议(SFCAG 2016)

【发表日期】

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2016年11期

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论文部分内容阅读

　　Let F be a finite unramified extension of Qp and(ρ)be a two dimensional residual representation of Gal((F)=F).We compare certain different deformation prob-lems attached to(ρ),more precisely,we compare potentially Barsotti-Tate deformation rings of different tame types.We show that they are actually different mod p2.This is related to the geometric Breuil-Mézard conjecture.We also explain an application to the mod p Langlands program.This is a work in progress with Haoran Wang.

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On Two Dimensional Potentially Barsotti-Tate Deformation Rings

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