Séminaire de Mathématique

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

## by Prof. Wei ZHANG (Columbia University)

Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)

### Centre de conférences Marilyn et James Simons

#### IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
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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.
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