David Fisher "Arithmeticity, superrigidity, and totally geodesic submanifolds" | The Vinberg LectureVote
The Vinberg Lecture Series: Lecture 8 (March 23, 2022)
David Fisher (Indiana University Bloomington, USA)
Title: Arithmeticity, superrigidity, and totally geodesic submanifolds
Abstract: Arithmeticity of locally symmetric spaces is an old and important area of study in which Vinberg proved some central results. I will discuss the history of the area, some open questions and then focus on recent joint work with Bader, Miller and Stover. We prove that non-arithmetic real and complex hyperbolic manifolds cannot have infinitely many maximal totally geodesic submanifolds.
The Vinberg Lecture: https://vinberg.combgeo.org/
About Combgeo Lab
We are the Laboratory of Combinatorial and Geometric Structures at MIPT. The lab aims to initiate collaboration and exchange between researchers who work on different topics in the fields of Combinatorics, Discrete and Computational Geometry, and Theoretical Сomputer Science.