| Orateur(s) | Marco D'Addezio - Sorbonne Université,
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| Titre | Boundedness of the p-primary torsion of the Brauer group of an abelian variety |
| Date | 11/02/2022 |
| Horaire | 14:00 à 15:00 |
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| Diffusion | https://bigbluebutton.imj-prg.fr/b/cyr-xch-bqw-ao3 |
| Résume | I will present a new finiteness result for the p-primary torsion of the transcendental Brauer group of abelian varieties defined over finitely generated fields of positive characteristic p. This follows from a certain flat variant of the Tate conjecture for divisors which I formulated and proved for abelian varieties. At the end of the talk, I will also say some words about a second result, related to the main one, about the failure of the surjectivity of the specialisation morphism of the Néron-Severi group in families. More precisely, this theorem says that certain infinitely p-divisible p-torsion classes of the Brauer group of the abelian variety defined over the algebraic closure (which are not in the transcendental Brauer group by the main theorem) provide an obstruction to the surjectivity. |
| Salle | (séance hybride) Jussieu, salle 15-16-413 |
| Adresse | Campus Pierre et Marie Curie
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