Rationality for Threefolds Over Non-Closed Fields

Explore recent developments in rationality questions for geometrically rational threefolds over non-closed fields in this comprehensive lecture by Brendan Hassett from Brown University. Delve into the work of Benoist-Wittenberg, Kuznetsov-Prokhorov, Tschinkel, and others, while examining new approaches using symbol invariants. Learn about classical constructions, combinatorial invariants, topological types, and key diagrams essential to understanding the subject. Investigate the extension of these concepts to non-closed fields, rationality criteria, and Fano threefolds of degree 18. Gain insights into motivating questions and further examples in this hour-long presentation that covers a wide range of topics in algebraic geometry and number theory.