Cycles on the moduli of Shtukas and Taylor coefficients of L-functions

par Prof. Wei ZHANG (Columbia University)

vendredi 11 mars 2016, 16:30 → 17:30 Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

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.