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.

Differential Geometry Seminar - Ruobing Zhang

Ohio State Garden of Constants
April 17, 2025
1:30 pm - 2:30 pm
Mathematics Building 105

Ruobing Zhang
University of Wisconsin–Madison

Title
Recent progress in the geometry of Poincaré-Einstein metrics

Abstract
In this talk, we will exhibit recent developments in studying the geometry of Einstein metrics with negative scalar curvature, called Poincaré-Einstein metrics, via the tool of conformal compactification. We will introduce some new formulations of rigidity, regularity, as well as quantitative geometry in this direction. An interesting phenomenon is that these results suggest a certain resonance between the structures of Ricci flat manifolds and Poincaré-Einstein manifolds.

Events Filters:

Seminar - Differential Geometry