Local-Global Principles for Norm One Tori and Multinorm Tori Over Semi-Gl
Explore a comprehensive lecture on local-global principles for norm one tori and multinorm tori over semi-global fields. Delve into advanced topics in algebraic number theory and arithmetic geometry 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, with applications to algebraic and differential geometry, combinatorics, and related fields. Examine techniques from algebraic and analytic number theory, and the arithmetic theory of algebraic groups used to address long-standing problems in mathematics. Learn about bounded generation, diophantine techniques in linear groups, and new approaches to Bruhat-Tits theory. Discover connections to isospectral locally symmetric spaces, eigenvalue rigidity, and potential applications in pseudo-Riemannian geometry.