On the rationality of Fano threefolds over non-closed fields

Abstract: We discuss rationality problem of smooth Fano threefolds of Picard number one over algebraically non-closed fields. The talk is based on a joint work with A. Kuznetsov.

algebraic geometrynumber theory

Audience: researchers in the topic

“Algebraic geometry and arithmetic” Viacheslav Nikulin’s 70th birthday conference

Series comments: The conference is dedicated to the 70th birthday of our colleague and friend Viacheslav Nikulin, who made a huge contribution to the theory of K3 surfaces and also other domains of geometry and arithmetic, including reflection groups, automorphic forms and infinite-dimensional Lie algebras. Topics of the conference reflect mathematical interests of the hero of the day.