Central Extensions of Arithmetic Lattices by Matthew Stover

Explore central extensions of arithmetic lattices in this comprehensive lecture by Matthew Stover, 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 progress and 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. Learn about applications to long-standing problems such as fake projective planes, isospectral and length-commensurable locally symmetric spaces, and expanding graphs. Discover recent developments in bounded generation, stability, and asymptotic cohomology, as well as new approaches to Bruhat-Tits theory and groups with good reduction. Investigate geometric problems related to isospectral locally symmetric spaces and explore the concept of eigenvalue rigidity. This 1-hour and 14-minute lecture is part of a broader program featuring experts in algebraic and Lie groups, differential and algebraic geometry, and related areas, offering a comprehensive exploration of the subject matter.