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UID:6597@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20201217T110000
DTEND;TZID=Europe/Paris:20201217T120000
DTSTAMP:20241120T201749Z
URL:https://www.i2m.univ-amu.fr/evenements/density-of-rational-points-on-a
 -family-of-del-pezzo-surfaces-of-degree-1-rosa-winter/
SUMMARY:Rosa Winter (Max Planck Institute for Mathematics in the Sciences 
 à Leipzig): Density of rational points on a family of del Pezzo surfaces 
 of degree 1 - Rosa Winter
DESCRIPTION:Rosa Winter: Del Pezzo surfaces are classified by their degree 
 d\, which is an integer between 1 and 9 (for d ≥ 3\, these are the smoot
 h surfaces of degree d in ℙ^d). For del Pezzo surfaces of degree at lea
 st 2 over a field k\, we know that the set of k-rational points is Zariski
  dense provided that the surface has one k-rational point to start with (t
 hat lies outside a specific subset of the surface for degree 2). However\,
  for del Pezzo surfaces of degree 1 over a field k\, even though we know t
 hat they always contain at least one k-rational point\, we do not know if 
 the set of k-rational points is Zariski dense in general. I will talk abou
 t a result that is joint work with Julie Desjardins\, in which we give nec
 essary and sufficient conditions for the set of k-rational points on a spe
 cific family of del Pezzo surfaces of degree 1 to be Zariski dense\, where
  k is a number field. I will compare this to previous results.\n\n\n\n\n\n
 Lien Zoom : https://univ-amu-fr.zoom.us/j/92195848065?pwd=dEVoUmx1b1JUYT
 dERVZ1c1NPazN0QT09 \nMeeting ID : 921 9584 8065\n \n \nSite : https:/
 /sites.google.com/view/samuele-anni/home/s%C3%A9minaire-ati  \n\n\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/12/Rosa_Winter.jpg
CATEGORIES:Séminaire,Arithmétique et Théorie de l’Information,Virtual
 event
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