These objects, in some form or another, have been studied the
last twenty years by Rothstein, Laumon, Loeser-Sabbah, and more recently,
by Bhatt, Schnell and Scholze. A formal definition will be given, and
realizations, when the semi-abelian variety is a torus, will be
discussed. The talk is based on work in progress with Deepam Patel.