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

 Joint IAS/Princeton University Number Theory Seminar Topic: Cycles on the moduli of Shtukas and Taylor coefficients of L-functions Speaker: Wei Zhang Affiliation: Columbia University Date: Thursday, February 4 Time/Room: 4:30pm - 5:30pm/S-101 Video Link: https://video.ias.edu/puias/2016/0204-Zhang

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 $\mathrm{GL}(2)$ to higher derivatives of L-functions.