Local theta correspondence and Galois periods
Representation Theory
2026-03-10 v1 Number Theory
Abstract
We study the behavior of Galois periods under the local theta correspondence for even orthogonal and symplectic groups. Specifically, we compare their multiplicities and construct explicit transfer maps. Furthermore, we establish both an adjoint relation and a relative character relation for these periods.
Cite
@article{arxiv.2603.05985,
title = {Local theta correspondence and Galois periods},
author = {Chong Zhang},
journal= {arXiv preprint arXiv:2603.05985},
year = {2026}
}