November 25, 2014
1:50PM - 2:45PM
Cockins Hall 240
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2014-11-25 14:50:00
2014-11-25 15:45:00
Differential Geometry Seminar/Topology Seminar- Lee Kennard
Title: Cohomology operations and positive sectional curvatureSpeaker: Lee Kennard (University of California at 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.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-11-25 13:50:00
2014-11-25 14:45:00
Differential Geometry Seminar/Topology Seminar- Lee Kennard
Title: Cohomology operations and positive sectional curvatureSpeaker: Lee Kennard (University of California at 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.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Cohomology operations and positive sectional curvature
Speaker: Lee Kennard (University of California at 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.
