The Existence Problem of Compact Quotients of Pseudo-Riemannian Homogeneous Spaces

Explore the intricacies of compact quotients in pseudo-Riemannian geometry through this lecture by Yosuke Morita. Delve into the existence problem of compact quotients of pseudo-Riemannian homogeneous spaces, a topic that bridges differential geometry, Lie theory, and number theory. Gain insights into the challenges and recent developments in this area, which is part of a broader program on Zariski dense subgroups and their applications in geometry and number theory. Learn about the techniques used to investigate these spaces, including methods from algebraic and analytic number theory, and understand their relevance to other areas of mathematics such as algebraic geometry and mathematical physics.