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.
Learning objective
Literature
-- 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
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course