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Bounded height in pencils of finitely generated subgroups

Date: Thursday, October 17, 2019 13:30 - 15:30
Speaker: Umberto Zannier (Scuola Normale Superiore, Italy)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Timothy Browning

The context is about sections of a pencil of tori or abelian varieties. Several results concern the set of parameters which destroy independence. We shall look at a generalization of this issue:
"For which parameters does a finitely generated group of sections meet a given subvariety?"
We shall discuss some joint results with Amoroso and Masser, for toric pencils: Under suitable assumptions we prove bounded height for the said parameters. There are diophantine applications.
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