Survey on bounding Selmer groups for Rankin--Selberg motives

Yifeng Liu; Yichao Tian; Liang Xiao; Wei Zhang; Xinwen Zhu

Survey on bounding Selmer groups for Rankin--Selberg motives

Number Theory 2025-09-23 v1 Algebraic Geometry Representation Theory

Authors: Yifeng Liu , Yichao Tian , Liang Xiao , Wei Zhang , Xinwen Zhu

Abstract

This article reviews the work of the same authors on the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives, with some new observations and speculations toward the categorical local Langlands developed by X. Zhu.

Keywords

Selmer groups Rankin-Selberg motives Beilinson-Bloch-Kato conjecture L-functions Galois representations

Cite

@article{arxiv.2509.16881,
  title  = {Survey on bounding Selmer groups for Rankin--Selberg motives},
  author = {Yifeng Liu and Yichao Tian and Liang Xiao and Wei Zhang and Xinwen Zhu},
  journal= {arXiv preprint arXiv:2509.16881},
  year   = {2025}
}

Comments

35 pages, to appear in Simons Symposia

Survey on bounding Selmer groups for Rankin--Selberg motives

Abstract

Keywords

Cite

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