Standard Compact Clifford-Klein Forms and Lie Algebra Decompositions

Explore the intricacies of standard compact Clifford-Klein forms and Lie algebra decompositions in this 44-minute lecture by Maciej Bochenski. Delivered as part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences, delve into advanced topics in algebraic and differential geometry. Gain insights into the latest developments in the theory of arithmetic and Zariski-dense subgroups, their applications to various mathematical fields, and open problems in the area. Examine the intersection of number theory, algebraic groups, and geometric applications while learning about new approaches to Bruhat-Tits theory and groups with good reduction. Enhance your understanding of isospectral locally symmetric spaces, eigenvalue rigidity, and the potential applications of these concepts in pseudo-Riemannian geometry and the classification of compact space forms.