Strong approximation and a conjecture of Harpaz and Wittenberg
星期二, 24 十一月, 2015 - 10:30
Résumé :
In recent work Harpaz and Wittenberg established a general fibration theorem for the existence of rational points, conditional on a conjecture on locally split values of polynomials. In this talk we report on joint work with Tim Browning, which establishes a special case of their conjecture. We achieve this in proving strong approximation off a non-empty finite set of places for some varieties which are defined using norm forms.
Institution de l'orateur :
IAS
Thème de recherche :
Théorie des nombres
Salle :
04