Rational and integral points on higher-dimensional varieties

May 12 to May 16, 2014

at the

American Institute of Mathematics, Palo Alto, California

organized by

Tim Browning and Yuri Tschinkel

Original Announcement

This workshop will be devoted to the study of rational and integral points on algebraic varieties of dimension at least two.

The goal of this workshop is to bring together researchers in algebraic geometry, cohomological methods, and analytic methods to study connections between these perspectives in Diophantine geometry

The main topics for the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:
Serre's problem on the density of isotropic fibres in conic bundles
Counting rational points on smooth cubic surfaces
Failures of weak approximation in families
Rational points on K3 surfaces and derived equivalence
Counting rational points on the Cayley ruled cubic
Dualité et principe local-global pour les tores sur une courbe au-dessus de C((t))
Principe local global pour les espaces linéaires sur les intersections de deux quadriques