Rafael von Kanel (Tsinghua University): Non-degenerate Diophantine equations

We present explicit height bounds for the solutions of Diophantine equations satisfying a certain non-degeneracy criterion. In particular, our results establish the effective Mordell conjecture for large classes of (explicit) curves over the rational numbers. We illustrate the non-degeneracy criterion for various classical equations, and we explain the strategy of proof, which combines the method of Faltings (Arakelov, Parsin, Szpiro) with modularity and Masser-Wustholz isogeny estimates. Joint work with Shijie Fan.

Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m1dced916cd45fee3a5fe510b62145276

Meeting number: 2780 426 4955