On Non-Commensurable Isospectral Locally Symmetric Spaces by C.S. Rajan

Explore a lecture on non-commensurable isospectral locally symmetric spaces delivered by C.S. Rajan 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, number theory, and the theory of arithmetic and Zariski-dense subgroups. Examine recent developments in the field, including applications to fake projective planes, isospectral and length-commensurable locally symmetric spaces, and expanding graphs. Gain insights into new approaches to Bruhat-Tits theory, groups with good reduction, and the concept of eigenvalue rigidity in pseudo-Riemannian geometry. This in-depth talk, lasting 1 hour and 13 minutes, is part of a comprehensive program featuring lectures by experts in algebraic and Lie groups, differential geometry, and related areas.