On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated

Explore a comprehensive lecture on the Hasse Principle for reductive algebraic groups over finitely generated fields, delivered by Igor Rapinchuk at the International Centre for Theoretical Sciences. Delve into advanced topics in algebraic number theory and group theory as part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program. Gain insights into recent developments in the theory of arithmetic and Zariski-dense subgroups, their applications to various areas of mathematics, and open problems in the field. Examine the intersection of algebraic geometry, differential geometry, and number theory through this in-depth presentation, which contributes to the broader program's goal of surveying progress in the field over the past decade.