English

Factorization of arithmetic automorphic periods

Number Theory 2017-05-04 v1

Abstract

In this paper, we prove that the arithmetic automorphic periods for GLnGL_{n} over a CM field factorize through the infinite places. This generalizes a conjecture of Shimura in 1983, and is predicted by the Langlands correspondence between automorphic representations and motives.

Cite

@article{arxiv.1705.01400,
  title  = {Factorization of arithmetic automorphic periods},
  author = {Jie Lin},
  journal= {arXiv preprint arXiv:1705.01400},
  year   = {2017}
}

Comments

Part of the thesis of the author

R2 v1 2026-06-22T19:35:34.632Z