The theta correspondence over finite fields
Representation Theory
2026-03-27 v1
Abstract
This set of lecture notes is an expanded version of a mini-course the author gave in March of 2025 for the program ``Representation Theory \& Noncommutative Geometry" at the Institut Henri Poincar\'e, Paris. The goal is to provide a survey of the main properties of the theta correspondence over finite fields of odd characteristic, including its compatibility with Harish-Chandra and Lusztig series, and with the Jordan decomposition of representations, as well as its full explicit description.
Cite
@article{arxiv.2603.25658,
title = {The theta correspondence over finite fields},
author = {Anne-Marie Aubert},
journal= {arXiv preprint arXiv:2603.25658},
year = {2026}
}
Comments
33 pages