Vortragsankündigung

Im Rahmen des Oberseminars Algebra spricht

Herrn Martin Lüdtke

(Universität Oldenburg)

Title: Affine Chabauty

Abstract: Given a hyperbolic curve Y defined over the integers and a finite set of primes S, the theorems of Siegel, Mahler, and Faltings guarantee that the set of S-integral points Y(Z_S) is finite.

Determining this set in practice is a difficult problem for which no general method is known. In the case of projective curves, Chabauty's method can often be used to produce a finite subset of the p-adic points containing the rational points.  I present a Chabauty method for affine curves based on embedding the curve in its generalised Jacobian and constraining the image of the S-integral points via arithmetic intersection theory. This is joint work with M. Leonhardt.

Der Vortrag findet statt am

Dienstag, den 16.06.2026
um 17.00 Uhr im Raum W01 0-006

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