复旦-SIMIS数论讨论班: p-adic Gross-Zagier formulae for supersingular elliptic curves

Speaker: 范洋宇 (北京理工大学)

Time: 2025-12-16 16:00-16:30
Location: 1010, SIMIS

摘要:

The p-adic Gross-Zagier formula—the p-adic analogue of the celebrated Gross-Zagier formula—relates the p-adic height of Heegner points to the derivative of p-adic Rankin series. It plays an essential role in the Iwasawa Main Conjecture for elliptic curves and the Birch-Swinnerton-Dyer Formula. In this talk, we report  some recent progress regarding the p-adic Gross-Zagier formulae for supersingular elliptic curves. This work is partly based on joint work with Prof. Y. Tian and Dr. J. Pan.


About Speaker:

Professor Yangyu Fan received his Ph.D. in mathematics from University of Milan at 2018 and is currently an assistant professor at Beijing Institute of Technology. His research includes automorphic representations and Galois representations, with an emphasis on p-adic L-functions.

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