Programme on "Heights in Diophantine geometry, group theory and
additive combinatorics"
October 21 - December 20, 2013
organised by
Heights are a fundamental tool in many
branches of number theory
that allow to quantify the arithmetic complexity of an
algebraically defined object. Whereas in Diophantine geometry heights
have become an indispensable tool the use of heights in group theory
and additive combinatorics is a rather new development. However, recent
work of Breuillard, Bourgain, Chang, Konyagin, Shparlinski, and others
indicate that heights might become a very valuable tool in geometric
group theory and additive combinatorics, not only to prove but also to
formulate the problems in a broader and more conceptual context. One
aim of this programme is to deliver a common platform for all of these
communities as we believe that this will lead to fruitful interactions
in the future.
