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