English

Rational Points in Regular Orbits attached to Infinitesimal Symmetric Spaces

Number Theory 2019-03-05 v2

Abstract

Motivated by problems arising in the relative trace formula and arithmetic invariant theory we prove the existence of rational points on orbits arising from certain infinitesimal symmetric spaces. As an application, we prove analogous results for orbits in certain global reductive symmetric spaces.

Keywords

Cite

@article{arxiv.1711.02139,
  title  = {Rational Points in Regular Orbits attached to Infinitesimal Symmetric Spaces},
  author = {Trung Can and Chung-Ru Lee and Benjamin Nativi and Gary Zhou},
  journal= {arXiv preprint arXiv:1711.02139},
  year   = {2019}
}