A regularized theta lift on the symmetric space of $SL_N$
Number Theory
2025-12-30 v1
Abstract
We define a regularized lift from harmonic weak Maass forms of weight to differential forms of degree on the symmetric space , that are smooth outside of certain modular symbols. We show that this lift is adjoint to the derivative of a theta lift. We compute periods of the regularized lift over tori and relate them to Fourier coefficients of Hilbert-Eisenstein series.
Keywords
Cite
@article{arxiv.2512.23052,
title = {A regularized theta lift on the symmetric space of $SL_N$},
author = {Romain Branchereau},
journal= {arXiv preprint arXiv:2512.23052},
year = {2025}
}