Integral points on log K3 surfaces

Mardi 15 mars 2016 14:15-15:15 - Yonatan Harpaz - E.N.S.

Résumé : In this talk we will discuss the notion of log K3 surfaces and the subtle behavior exhibited by their integral points. In particular, we will try to determine what factors may combine to determine the asymptotic growth of integral points on such surfaces, and describe some heuristic formulas due to Tim Browning and based on the circle method. We will then analyse and classify a few relatively simple cases, which unfortunately show that the circle method heuristic cannot hold as is. We will consequently attempt to suggest a revised formula, at least for certain simple types of log K3 surfaces, which seems to comply with preliminary numerical data.

Lieu : Bât. 425, salle 117-119

Integral points on log K3 surfaces  Version PDF