Mathematical Sciences Geometry/Topology Seminar

Speaker: Kevin Wortman

Title: S-arithmetic lattices and quasi-isometric rigidity

Abstract: In this talk we will see how results of Eskin and Eskin-Farb have been extended to show that any quasi-isometry of a higher rank nonuniform S-arithmetic lattice is a bounded distance from a commensurator. Any such group is therefore quasi-isometrically rigid. Examples of such lattices include SL(3,Z[1/p]).