Séminaire de Mathématique
Cycles on the moduli of Shtukas and Taylor coefficients of L-functions
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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
Description
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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