Tangli Ge [HUJI-BGU Number Theory Seminar]

Tangli Ge (Brown)

Uniformity of quadratic points

Abstract: Harris-Silverman showed as a corollary of Faltings’ Theorem in dimension two that a non-hyperelliptic non-bielliptic curve over some number field has only finitely many quadratic points. In this talk, I will explain how to get a uniform bound on the number of quadratic points of such curves, in terms of the Mordell-Weil ranks. The result relies on the uniform Mordell-Lang conjecture in dimension two. This is motivated by the recent work on the uniform Mordell-Lang conjecture by Dimitrov-Gao-Habegger and Kühne. I will also briefly introduce the uniformity conjecture in general, as shown in a joint work with Ziyang Gao and Lars Kühne.

The meeting will be open from 14.15 (local time) for a virtual coffee with the speaker. 

Join Zoom Meeting


Meeting ID: 815 6864 8940

Passcode: 3628800


Mon, 21/06/2021 - 14:00 to 16:00