Time: 15:00-16:00, Wednesday, April 29 2026
Venue：E14-212
Speaker：Evelina Viada, University of Göttingen
Title：Bogomolov and Lehmer type bounds and rational points of small rank on algebraic varieties
Abstract：The Torsion Anomalous Conjecture (=TAC) gives a general framework of which the Manin-Mumford and the Mordell-Lang become special cases.
In spite remaining open in its generality, the TAC is proven is some cases in an effective way, implying cases of the effective Mordell-Lang Conjecture. I will explain the results obtained in joint works in this context. In particular I would like to give an overview of a recent joint work with Riccardo Pengo that allows us to give an explicit method to determine the rational points of any algebraic variety $V$ that is not a translate of a subgroup and it is embedded in $E^N$, where $E$ is an elliptic curve of rank one. The use of Bogomolov and Lehmer type bounds is central, as well as the arithmetic B\'ezout theorem and diophantine approximation.
