Perfectoid Shimura varieties

被引：0
|
作者：
Peter Scholze
机构：
[1] Universität Bonn,Mathematisches Institut
来源：
Japanese Journal of Mathematics | 2016年 / 11卷
关键词：
14G35; 11F03; 11F80; 14G22; Shimura varieties; Galois representations; perfectoid spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This note explains some of the author’s work on understanding the torsion appearing in the cohomology of locally symmetric spaces such as arithmetic hyperbolic 3-manifolds.
引用
收藏
页码：15 / 32
页数：17
相关论文
共 50 条
  • [1] Perfectoid Shimura varieties
    Scholze, Peter
    JAPANESE JOURNAL OF MATHEMATICS, 2016, 11 (01): : 15 - 32
  • [2] Perfectoid Shimura Varieties of Abelian Type
    Shen, Xu
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (21) : 6599 - 6653
  • [3] Perfectoid Shimura varieties and the Calegari-Emerton conjectures
    Hansen, David
    Johansson, Christian
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 108 (05): : 1954 - 2000
  • [4] OVERCONVERGENT MODULAR FORMS AND PERFECTOID SHIMURA CURVES
    Chojecki, Przemyslaw
    Hansen, D.
    Johansson, C.
    DOCUMENTA MATHEMATICA, 2017, 22 : 191 - 262
  • [5] Perfectoid covers of abelian varieties
    Blakestad, Clifford
    Gvirtz, Damian
    Heuer, Ben
    Shchedrina, Daria
    Shimizu, Koji
    Wear, Peter
    Yao, Zijian
    MATHEMATICAL RESEARCH LETTERS, 2022, 29 (03) : 631 - 662
  • [6] Descent for Shimura varieties
    Milne, JS
    MICHIGAN MATHEMATICAL JOURNAL, 1999, 46 (01) : 203 - 208
  • [7] SHIMURA VARIETIES AND GERBES
    LANGLANDS, RP
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1987, 378 : 113 - 220
  • [8] Subvarieties of shimura varieties
    Edixhoven, B
    Yafaev, A
    ANNALS OF MATHEMATICS, 2003, 157 (02) : 621 - 645
  • [9] On Picard groups of perfectoid covers of toric varieties
    Gabriel Dorfsman-Hopkins
    Anwesh Ray
    Peter Wear
    European Journal of Mathematics, 2023, 9
  • [10] Holomorphic curves in Shimura varieties
    Michele Giacomini
    Archiv der Mathematik, 2018, 111 : 379 - 388
12345