S4A5 Uniformity for Rational Points (SS 24)

Time: Tue 14-16.

Room: Wegelerstr. 10, Zeichensaal, University of Bonn.

Preliminary meeting: 30 January 2024, 12:00, Endenicher Allee 60, Seminarraum 0.007, University of Bonn.

Content: The main goal of this seminar is to study the proof of a uniform version of Mordell's conjecture by Dimitrov, Gao, and Habegger (published in "Uniformity in Mordell–Lang for curves", Ann. of Math. (2) 194 (2021), no. 1, 237-298), to wit: the number of rational points on a smooth irreducible projective curve of genus g > 1 over a number field of degree d is bounded in terms of only g, d, and the Mordell-Weil rank of the Jacobian of the curve.

Material: Seminar program (last updated: 11/04/24).

Remarks:

• If you would like to attend the seminar, you have to sign on a registration list during the preliminary meeting or the first seminar session and register via BASIS.

• All topics have now been assigned at the preliminary meeting. Please email me if you are interested in participating. I would then get in touch if a topic should become free.