Caltech Home > PMA Home > Calendar > Geometry and Topology Seminar
open search form
Friday, October 11, 2024
3:00 PM - 4:00 PM
Linde Hall 187

Geometry and Topology Seminar

Finiteness of Totally Geodesic Hypersurfaces in Negative Curvature
Ben Lowe, Department of Mathematics, University of Chicago,

There is a broad body of work devoted to proving theorems of the following form: spaces with infinitely many special sub-spaces are either nonexistent or rare.  Such finiteness statements are important in algebraic geometry, number theory, and the theory of moduli space and locally symmetric spaces. I will talk about joint work with Simion Filip and David Fisher proving a finiteness statement of this kind in a differential geometry setting.  Our main theorem is  that a closed negatively curved analytic Riemannian manifold with infinitely many totally geodesic hypersurfaces must be isometric to an arithmetic hyperbolic manifold.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://sites.google.com/site/caltechgtseminar/home.