Symplectic Geometry


Symplectic linear algebra. Symplectic manifolds. Symplectomorphisms. Lagrangian submanifolds. Theorems of Darboux and Weinstein (lagrangian neighborhood). Hamiltonian vector fields. Brief introduction to Poisson manifolds. Hamiltonian actions and moment map. Noether Theorem. Equivariance of the moment map and coadjoint orbits. Convexity Theorem. Symplectic reduction. Additional topics: Almost complex structures. Kähler manifolds. Contact manifolds. Lie algebroids and Poisson geometry. Toric symplectic manifolds.

Research and Events


  • There is no information available on this topic.
More Events

Defended Theses

  • Statistical instability in chaotic dynamics
      Muhammad Ali Khan (March 2018)
      José Ferreira Alves
  • Profinite topologies on the free group
      Khadijeh Alibabaei (March 2018)
      Jorge Almeida
  •   Rui Manuel Tavares Pinto de Sá Pereira (January 2018)
      Evelina Shamarova
More Theses