Finite Simple Subgroups of Real Cremona Groups

Explore the classification and structure of finite simple subgroups within real Cremona groups through this 52-minute conference talk delivered at the 2025 Annual Meeting of the Simons Collaboration on Moduli of Varieties. Delve into advanced algebraic geometry concepts as the speaker examines the intricate relationships between finite group theory and birational transformations of real algebraic varieties. Learn about the theoretical foundations underlying Cremona groups, their geometric interpretations, and the specific properties that characterize finite simple subgroups within these transformation groups. Gain insights into current research developments in this specialized area of mathematics, including classification results, structural theorems, and potential applications to broader questions in algebraic geometry and group theory.