This seminar is an introduction to symplectic toric manifolds, including their classification in terms of (unimodular) polytopes following Delzant and including normal forms for symplectic manifolds with torus actions.
-- Delzant, Hamiltoniens périodiques et images convexes de l'application moment, Bull. Soc. Math. France, 116 (1988), 315-339. -- Karshon and Lerman, Non-compact symplectic toric manifolds, SIGMA Symmetry Integrability Geom. Methods Appl. 11 (2015), 37 pp. -- Lerman and Tolman, Hamiltonian torus actions on symplectic orbifolds and toric varieties, Trans. Amer. Math. Soc. 349 (1997), 4201-4230. -- Cannas da Silva, Symplectic toric manifolds, Symplectic Geometry of Integrable Hamiltonian Systems by Audin, Cannas da Silva and Lerman, CRM (2003), 85-173.
Prerequisites / Notice
This seminar requires some prior basic knowledge of symplectic manifolds.
Performance assessment information (valid until the course unit is held again)