| Equipe(s) : | tga, |
| Responsables : | Cyril Demarche, Diego Izquierdo et Charles De Clercq |
| Email des responsables : | |
| Salle : | |
| Adresse : | Campus Pierre et Marie Curie |
| Description | Le séminaire a généralement lieu à Jussieu (Sorbonne Université, Paris), un vendredi par mois, entre 14h30 et 17h. |
| Orateur(s) | Vladimir Mitankin - Hanovre, |
| Titre | Rational points on del Pezzo surfaces of degree 4. |
| Date | 12/03/2021 |
| Horaire | 14:30 à 15:30 |
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| Diffusion | https://bigbluebutton.imj-prg.fr/b/cyr-94x-zup |
| Résume | In this talk I shall explain how often failures of local-to-global principles arise in a family of del Pezzo surfaces of degree four. This is addressed in terms of the Brauer group. More precisely, we give an explicit description of its generators modulo constants and incorporate in the Brauer-Manin obstruction the information obtained. This allows us to use tools from analytic number theory to get sharp upper and lower bounds for the number of surfaces in the family with a prescribed Brauer group as well as bounds for the number of Hasse and weak approximation failures. This talk is based on a joint work with Cecilia Salgado. |
| Salle | code d'accès : écrire à Cyril Demarche |
| Adresse | https://bigbluebutton.imj-prg.fr/b/cyr-94x-zup |