Non-abelian fundamental groups in arithmetic geometry : final report 1

The ancient problems of diophantine equations and diophantine geometry are still absolutely central in research in number theory today, and the programme attempted to explore some of the most promising avenues of attack on these problems. It was primarily concerned with the two themes of anabelian geometry and non-commutative Iwasawa theory, and the mathematical ideas underlying these subjects. More specifically, much of the programme was devoted to the following topics: