The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation.
This book is co-published with the Centre de Recherches Mathématiques.
Carlo Gasbarri, Université de Strasbourg, France, Steven Lu, Université du Québec à Montréal, Québec, Canada, Mike Roth, Queen's University, Kingston, Ontario, Canada, and Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, NY