**abstract:**
The Torsion Anomalous Conjecture states that an algebraic variety V in
a semi-abelian variety contains finitely many maximal torsion anomalous subvarieties. In
a paper with Sara Checcoli and Evelina Viada we prove some new cases of this conjecture
for V a weak-transverse variety in a product of elliptic curves. Our main result provides
a totally explicit bound for the Neron-Tate height of all V -torsion anomalous points of
relative codimension one in the non-CM case and an analogous effective result in the CM
case. As an application, we obtain new explicit results in the context of the effective
Mordell-Lang Conjecture; in particular we bound the Neron-Tate height of the rational
points of an explicit family of curves of increasing genus.

Mon 21 Sep, 16:30 - 16:55, Aula Contini

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