Equivariant rationality: invariants and constructions

Abstract: About 20 years ago, Reichstein obtained fundamental results on equivariant rationality for varieties with actions of finite and linear algebraic groups. New perspectives have come with the symbol invariants developed by Kontsevich, Kresch, and Tschinkel. We will discuss some implications of these ideas for rationality questions central to arithmetic geometry: complete intersections of two quadrics.

algebraic geometrygroup theorynumber theoryrepresentation theory

Audience: researchers in the topic

Algebraic groups and algebraic geometry: in honor of Zinovy Reichstein's 60th birthday