Avec le soutien de :
ERC Advanced Grant : AAMOT (Arithmetic of Automorphic Motives)
PI : Michael HARRIS
This is joint work with Zhiwei Yun. We prove a generalization of Gross-Zagier formula in the function field setting. Our formula relates self-intersection of certain cycles on the moduli of Shtukas for GL(2) to higher derivatives of L-functions.