November 25, 2014
1:45PM - 2:45PM
CH240
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2014-11-25 14:45:00
2014-11-25 15:45:00
Topology Seminar -Lee Kennard
Title: Cohomology operations and positive sectional curvatureSpeaker: Lee Kennard, UC Santa BarbaraAbstract: After discovering the relations among Steenrod powers that bear his name, J. Adem proved a theorem on singly generated cohomology rings. His line of reasoning eventually led to J.F. Adams' resolution of the Hopf invariant one problem. I will discuss a generalization of Adem's theorem and a different application of it to geometry. When combined with a fundamental result of B. Wilking, this result leads to computations of topological invariants of manifolds that admit Riemannian metrics with positive sectional curvature and symmetry.
CH240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-11-25 13:45:00
2014-11-25 14:45:00
Topology Seminar -Lee Kennard
Title: Cohomology operations and positive sectional curvatureSpeaker: Lee Kennard, UC Santa BarbaraAbstract: After discovering the relations among Steenrod powers that bear his name, J. Adem proved a theorem on singly generated cohomology rings. His line of reasoning eventually led to J.F. Adams' resolution of the Hopf invariant one problem. I will discuss a generalization of Adem's theorem and a different application of it to geometry. When combined with a fundamental result of B. Wilking, this result leads to computations of topological invariants of manifolds that admit Riemannian metrics with positive sectional curvature and symmetry.
CH240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Cohomology operations and positive sectional curvature
Speaker: Lee Kennard, UC Santa Barbara
Abstract: After discovering the relations among Steenrod powers that bear his name, J. Adem proved a theorem on singly generated cohomology rings. His line of reasoning eventually led to J.F. Adams' resolution of the Hopf invariant one problem. I will discuss a generalization of Adem's theorem and a different application of it to geometry. When combined with a fundamental result of B. Wilking, this result leads to computations of topological invariants of manifolds that admit Riemannian metrics with positive sectional curvature and symmetry.
