Unlikely intersections in families of semiabelian varieties and applications to a conjecture of Silverman

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Unlikely intersections in families of semiabelian varieties and applications to a conjecture of Silverman
Giovedì 2 Dicembre ore 14:15, Laura Capuano (Università degli Studi Roma Tre) terrà il seminario di Geometria dal titolo "Unlikely intersections in families of semiabelian varieties and applications to a conjecture of Silverman".

Abstract: What makes an intersection likely or unlikely? A simple dimension count shows that two varieties of dimension r and s are non "likely" to intersect if r < codim s, unless there is some special geometrical relation among them. A series of conjectures due to Bombieri-Masser-Zannier, Zilber and Pink rely on this philosophy.

After a small survey on these problems, I will present a recent application to a conjecture of Silverman on the greatest common divisor of divisibility sequences coming from certain algebraic groups. This is a joint work with F. Barroero and A. Turchet.


Il seminario avrà luogo in presenza presso il Dipartimento di Matematica e Fisica
Lungotevere Dante 376 - Aula M1
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Tutti gli afferenti all'università Roma Tre potranno accedere previa esibizione del greenpass. Gli esterni che fossero interessati a partecipare possono contattare gli organizzatori all'email amos.turchet@uniroma3.it.
 
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