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This text is devoted to the following result, stemming out works of Bombieri,Masser, Zannier, and Maurin: Let $X$ be an complex algebraic (projective,connected) curve and let us consider $n$ rational functions $f_1,...,f_n$ on$X$ which are multiplicatively independent. The points $x$ of $X$ where theirvalues $f_1(x),...,f_n(x)$ satisfy at least two independent multiplicativedependence relations form a finite set.  We discuss the conjectural generalizations of this theorem (Bombieri, Masser,Zannier; Zilber; Pink) concerning the finiteness of points of a $d$-dimensionalsubvariety $X$ of a semiabelian variety $G$ which belong to an algebraicsubgroup of codimension $>d$ of $G$, their relations with theorems ofMordell-Lang or Manin-Mumford type, and, in the arithmetic case, recent resultsin this direction (Habegger; R\'emond; Viada).    Ce texte est consacr\'e au r\'esultat suivant, issus des travaux de Bombieri,Masser, Zannier et Maurin: Soit $X$ une courbe alg\'ebrique (projective,connexe) complexe et consid\'erons $n$ fonctions rationnelles $f_1,...,f_n$multiplicativement ind\'ependantes sur $X$. Les points $x$ de $X$ o\`u leursvaleurs $f_1(x),...,f_n(x)$ v\'erifient au moins deux relations de d\'ependancemultiplicative ind\'ependantes forment un ensemble fini.  Nous discutons les g\'en\'eralisations conjecturales de ce th\'eor\`eme(Bombieri, Masser, Zannier; Zilber; Pink) concernant la finitude des pointsd'une sous-vari\'et\'e $X$ de dimension $d$ d'une vari\'et\'e semi-ab\'elienne$G$ qui appartiennent \`a un sous-groupe alg\'ebrique de codimension $>d$ dans$G$, leurs relations avec les th\'eor\`emes de type Mordell-Lang ouManin-Mumford et, dans le cas arithm\'etique, les r\'esultats r\'ecents danscette direction (Habegger; R\'emond; Viada).

Relations de d\'ependance et intersections exceptionnelles (Dependence relations and exceptional intersections)