April 22, 2025
1:50 pm
-
2:50 pm
Math Tower (MW) 152
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2025-04-22 13:50:00
2025-04-22 14:50:00
Topology Seminar - Jonathan Zung
Jonathan ZungMITTitleExpansion and torsion homology of 3-manifoldsAbstractWe say that a Riemannian manifold has good higher expansion if every rationally null-homologous i-cycle bounds an i+1 chain of comparatively small volume. The interactions between expansion, spectral geometry, and topology have long been studied in the settings of graphs and surfaces. In this talk, I will explain how to construct rational homology 3-spheres which are good higher expanders. On the other hand, I will show that such higher expanders must be rather topologically complicated: they must have lots of torsion homology.For More Information About the Seminar
Math Tower (MW) 152
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2025-04-22 13:50:00
2025-04-22 14:50:00
Topology Seminar - Jonathan Zung
Jonathan ZungMITTitleExpansion and torsion homology of 3-manifoldsAbstractWe say that a Riemannian manifold has good higher expansion if every rationally null-homologous i-cycle bounds an i+1 chain of comparatively small volume. The interactions between expansion, spectral geometry, and topology have long been studied in the settings of graphs and surfaces. In this talk, I will explain how to construct rational homology 3-spheres which are good higher expanders. On the other hand, I will show that such higher expanders must be rather topologically complicated: they must have lots of torsion homology.For More Information About the Seminar
Math Tower (MW) 152
America/New_York
public
Jonathan Zung
MIT
Title
Expansion and torsion homology of 3-manifolds
Abstract
We say that a Riemannian manifold has good higher expansion if every rationally null-homologous i-cycle bounds an i+1 chain of comparatively small volume. The interactions between expansion, spectral geometry, and topology have long been studied in the settings of graphs and surfaces. In this talk, I will explain how to construct rational homology 3-spheres which are good higher expanders. On the other hand, I will show that such higher expanders must be rather topologically complicated: they must have lots of torsion homology.
