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Explore the transition from representation rigidity to profinite rigidity in this comprehensive lecture by Alan Reid, part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences. Delve into advanced topics in algebraic and analytic number theory, arithmetic theory of algebraic groups, and their applications to geometry and topology. Examine recent developments in bounded generation, stability, and asymptotic cohomology. Investigate new approaches to Bruhat-Tits theory and groups with good reduction. Consider the implications of eigenvalue rigidity in pseudo-Riemannian geometry and the classification of compact space forms. Gain insights into classical rigidity, property (T), and the construction of expander graphs from experts in algebraic and Lie groups, differential and algebraic geometry.
