Conjectures sur les d\'eriv\'ees logarithmiques des fonctions L d'Artin   aux entiers n\'egatifs
  We formulate several variants of a conjecture relating the arithmetic degree of certain hermitian fibre bundles with the values of the logarithmic derivative of Artin's L-functions at negative integers. This generalizes conjectures by Colmez and Gross-Deligne and complements Beilinson's conjectures for the Artin motives. We announce several results in the direction of these statements. 
Vincent Maillot and Damien Roessler