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

Explore the existence problem of compact quotients of pseudo-Riemannian homogeneous spaces in this 48-minute lecture by Yosuke Morita. Delivered as part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences, this talk delves into advanced topics in differential geometry and Lie group theory. Gain insights into the intersection of pseudo-Riemannian geometry, homogeneous spaces, and the challenges of finding compact quotients. Suitable for researchers and graduate students in mathematics, particularly those interested in geometric group theory, algebraic groups, and their applications to differential geometry.