On the Stark units of Drinfeld modules

International audienceWe present the notion of Stark units and various techniques involving it. The Stark units constitute a useful tool to study the unit and class modules of a Drinfeld module as defined by Taelman. We review some recent results on Drinfeld Fq[θ]-modules which make use of this notion. In particular, we present the "discrete Greenberg conjectures" which explain the structure of the class module of the canonical multi-variable deformations of the Carlitz module, and a result on the non vanishing modulo a given prime of a class of Bernoulli-Carlitz numbers. Content