Real structures on complex algebraic varieties with a reductive group action

TL;DR

This survey explores the classification and properties of real structures on complex algebraic varieties that have a reductive group action, providing an overview of current research and open problems.

Contribution

It compiles and reviews existing results on real structures in the context of reductive group actions, highlighting key methods and future directions.

Findings

Summarizes classification results for real structures

Identifies key techniques used in the study of real algebraic varieties

Outlines open problems and future research directions

Abstract

This is a survey article devoted to the study of real structures on complex algebraic varieties endowed with a reductive group action.