Tautological one-form

Related lectures (16)

Explores the concept of bulky Hamiltonian isotopies of Lagrangian tori.

By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.

Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.

Covers the growth of positive contactomorphisms in Legendrian spheres and symplectic forms.

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

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

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

Introduces one-forms, tensors, normal coordinates, and metric tensors in differential geometry.

Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.

Explores the reduction and symmetry of conic sections, including canonical forms and transformation properties.

Covers the concept of Smith Normal Form for integer matrices and its uniqueness conditions.

Covers the basics of linear optimization, including equations, polyhedrons, feasible directions, and optimal solutions.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

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