On the automorphic side of the K-theoretic Artin symbol

被引：0
|
作者：
Peter Arndt
Oliver Braunling
机构：
[1] Mathematical Institute of the Heinrich-Heine-Universität Düsseldorf,Freiburg Institute for Advanced Studies (FRIAS)
[2] University of Freiburg,undefined
来源：
Selecta Mathematica | 2019年 / 25卷
关键词：
Primary 22B05; Secondary 19D10; 11R37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Clausen has constructed a homotopical enrichment of the Artin reciprocity symbol in class field theory. On the Galois side, Selmer K-homology replaces the abelianized Galois group, while on the automorphic side the K-theory of locally compact vector spaces replaces classical idelic objects. We supply proofs for some predictions of Clausen regarding the automorphic side.
引用
收藏
相关论文
共 50 条
  • [1] On the automorphic side of the K-theoretic Artin symbol
    Arndt, Peter
    Braunling, Oliver
    SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (03):
  • [2] K-theoretic Background
    Sujatha, R.
    Bloch-Kato Conjecture for the Riemann Zeta Function, 2015, 418 : 22 - 44
  • [3] DEFORMATION OF K-THEORETIC CYCLES
    Yang, Sen
    ASIAN JOURNAL OF MATHEMATICS, 2020, 24 (02) : 303 - 330
  • [4] K-theoretic Catalan functions
    Blasiak, Jonah
    Morse, Jennifer
    Seelinger, George H.
    ADVANCES IN MATHEMATICS, 2022, 404
  • [5] K-theoretic Catalan functions
    Blasiak, Jonah
    Morse, Jennifer
    Seelinger, George H.
    ADVANCES IN MATHEMATICS, 2022, 404
  • [6] A K-THEORETIC APPROACH TO MULTIPLICITIES
    LEVINE, M
    MATHEMATISCHE ANNALEN, 1985, 271 (03) : 451 - 458
  • [7] A K-theoretic note on geometric quantization
    Metzler, DS
    MANUSCRIPTA MATHEMATICA, 1999, 100 (03) : 277 - 289
  • [8] Combinatorial expansions in K-theoretic bases
    Bandlow, Jason
    Morse, Jennifer
    ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (04):
  • [9] On the K-Theoretic Hall Algebra of a Surface
    Zhao, Yu
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (06) : 4445 - 4486
  • [10] K-theoretic invariants for Floer homology
    Sullivan, MG
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2002, 12 (04) : 810 - 872
12345