Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Topology Seminar - Yuping Ruan

Ohio State Garden of Constants
April 15, 2025
1:50 pm - 2:50 pm
Math Tower (MW) 152

Yuping Ruan
Northwestern University

Title
Simplicial volume and isolated, closed totally geodesic submanifolds of codimension one

Abstract
We show that for any closed Riemannian manifold with dimension at least two and with nonpositive curvature, if it admits an isolated, closed totally geodesic submanifold of codimension one, then its simplicial volume is positive. As a direct corollary of this, for any nonpositively curved analytic manifold with dimension at least three, if its universal cover admits a codimension one flat, then either it has nontrivial Euclidean de Rham factors, or it has positive simplicial volume. This is based on a joint work with Chris Connell and Shi Wang, arXiv:2410.19981.

For More Information About the Seminar

Events Filters:

Seminar - Topology