Lectures at the Annual Meeting 2013 of the Vietnam Institute for Advanced Study in Mathematics
Preface
Congruent numbers
Recent progress on the Gross–Prasad conjecture
Parabolic flows in complex geometry
Perfectoid spaces and the weight-monodromy conjecture, after Peter Scholze
The Tate conjecture for K3 surfaces—a survey of some recent progress
Representation of finite groups: conjectures, reductions, and applications