Random Character Varieties by Emmanuel Breuillard

Explore the intricacies of random character varieties in this one-hour lecture by Emmanuel Breuillard, part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences. Delve into the theory of arithmetic and Zariski-dense subgroups, examining recent advancements and their applications in algebraic and differential geometry, combinatorics, and related fields. Gain insights into techniques used to investigate Zariski-dense subgroups, with emphasis on methods from algebraic and analytic number theory and arithmetic theory of algebraic groups. Discover how these approaches have been applied to solve long-standing problems in mathematics and their potential for future applications in geometry, topology, and mathematical physics.