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

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

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Wei Zhang, Columbia University
IAS Room S-101

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.