April 17, 2025
1:30 pm
-
2:30 pm
Mathematics Building 105
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2025-04-17 13:30:00
2025-04-17 14:30:00
Differential Geometry Seminar - Ruobing Zhang
Ruobing ZhangUniversity of Wisconsin–MadisonTitleRecent progress in the geometry of Poincaré-Einstein metricsAbstractIn 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.
Mathematics Building 105
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2025-04-17 13:30:00
2025-04-17 14:30:00
Differential Geometry Seminar - Ruobing Zhang
Ruobing ZhangUniversity of Wisconsin–MadisonTitleRecent progress in the geometry of Poincaré-Einstein metricsAbstractIn 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.
Mathematics Building 105
America/New_York
public
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.
