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Poisson Manifolds

Program

Poisson manifolds: Poisson and Schouten brackets. Symplectic foliation and transverse Poisson structure. Poisson calculus. Modular class. Symplectic realizations. Poisson cohomology and Lie algebra cohomology. Normal forms for Poisson structures: Levi decomposition, linear approximation to Poisson structures, nondegenerate Lie algebras. Introduction to the study of Lie algebroids.

Research and Events

Events

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Defended Theses

  • Numerical semigroups: a conjecture of Wilf and related topics
      Neeraj Kumar (July 2025)
      Manuel Delgado
      Claude Marion
  • Dynamics of vector fields with univalued solutions
      Laura Rosales Ortiz (June 2025)
      Helena Reis
      Júlio Rebelo (Université Toulouse III)
  • Regular transitions of physical measures in nonuniformly hyperbolic systems
      Odaudu Reuben Etubi (April 2025)
      José Ferreira Alves
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