Speaker
Pankaj Vishe (Durham University)
Abstract
Let X\in P^{n-1}_Q be a smooth projective complete intersection variety defined by a system of two cubic polynomials. We prove that X satisfies the Hasse principle as long as n \geq 40. The key ingredient here is the development of a Kloosterman refinement for complete intersections over Q. This is a joint work with Matthew Northey.