Green's functions and L-function values

The theme of this year's lecture was the link between the special values of motivic L-functions (and their derivatives) on the one hand, and the algebrogeometric invariants of the objects to which these functions are related on the other. The invariants in question, of the " generalized regulator " type, are calculated using special functions such as the logarithm or polylogarithm functions in the simplest situations, and Green's functions in more general situations.