Symplectic manifold

Related lectures (32)

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Covers the theory of periodic orbits of Hamiltonian systems and the Conley-Zehnder index.

Covers the Weil representation, Heisenberg group actions, and symplectic group concepts.

Covers the Weil representation, Heis operators, Stone-Neumann theorem, unitary operators, Lie algebra structure, and symplectic form.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Explores the concept of bulky Hamiltonian isotopies of Lagrangian tori.

Delves into topological entropy in compact manifolds and Reeb flows, emphasizing the forcing of entropy via cylindrical contact homology.

Introduces smooth manifolds, emphasizing the importance of submanifolds of linear spaces.

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Covers embedded submanifolds, Stiefel manifold, tangent spaces, and differential ranks.