| January 17: |
Symplectic linear algebra
Symplectic manifolds
Darboux theorem
Symplectomorphisms
Hamiltonian isotopies
Contact manifolds
Reeb flows
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| January 24: |
Geodesic flows
Besse contact manifolds
Wadsley theorem
Strata of a Besse contact manifold
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| January 31: |
Zoll contact manifolds
Principal circle bundles
Euler class
Gysin sequence
Uniqueness of Zoll contact forms on a given 3-manifold
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| February 7: |
Geodesic flow of a sphere of revolution
Classification of Zoll spheres of revolution
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| February 14: |
The curve shortening semi-flow
The min-max theorem on the space of embedded loops
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| February 21: |
The Lusternik-Schnirelmann theorem on subordinated min-max values
Topology of the space of embedded loops on the 2-sphere
Existence of three simple closed geodesics on any Riemannian 2-sphere
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| March 13: |
Spectral characterization of Zoll Riemannian 2-spheres
Open conjectures in Reeb dynamics
Reeb flows on convex contact spheres
Clarke's action functional
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| March 20: |
Variational properties of the Clarke's action functional
Proof of the Weinstein conjecture for convex contact spheres
Notes:
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