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

Presenter
February 4, 2016
IAS
Keywords:
  • Joint IAS/PU Number Theory
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Abstract
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.