Birational Geometry and Number Theory

Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.

Recent developments suggest that there is much to be gained at the interface between number theory and birational geometry, and this workshop will be one of the first attempts in the form of an international meeting to explore these interactions.