Equivariant Birational Types

Explore new obstructions in equivariant birational geometry in this one-hour lecture by Yuri Tschinkel from NYU. Delve into the latest research conducted in collaboration with Kontsevich, Pestun, Kresch, and Hassett. Begin with an introduction to rationality and equivariant birational geometry, covering basic facts and the Reichstein Youssin theorem from 2002. Examine equivariant birational types, refined invariants, and properties of the equivariant Burnside group. Investigate abelian actions on surfaces, non-abelian invariants, and the equivariant Burnside volume. Learn about the specialization of equivariant birational types, modular types, and their structures. Conclude with a comprehensive summary of the presented concepts and their implications in the field of algebraic geometry.