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.