Poisson Geometry and Mathematical Physics I
Description
This is the first of two volumes arising from the INdAM Intensive Period "Poisson Geometry and Mathematical Physics," which took place in Naples from May 13 to July 12, 2024. These two volumes bring together contributions from numerous leading experts and young researchers in the field.
They present the state-of-the-art of their research on topics such as: Lie groupoids and Lie algebroids; symplectic and Poisson geometry as well as other related geometries; Dirac geometry and moduli spaces of flat connections; reduction and geometric representation theory; and higher, derived, shifted and graded structures.
These two volumes are primarily intended for researchers specializing in these fields.
More details
Persons
Alfonso Giuseppe Tortorella is an Associate Professor at the University of Salerno.
Antonio De Nicola is an Associate Professor at the University of Salerno.
Chiara Esposito is an Associate Professor at the University of Salerno.
Content
Preface.- Part title Poisson-related geometric structures.- Fabrizio Pugliese, Giovanni Sparano, Luca Vitagliano, "The Symplectic-to-Contact Dictionary".- Leonid Ryvkin, "Darboux type theorems in multisymplectic geometry".- Janina Bernardy "Homotopy reduction of multisymplectic structures in Lagrangian field theory".- Wilmer Smilde, "Notes on relative algebroids".- Part title Reduction, Moduli Spaces, and Dirac Geometry.-
Peter Crooks, Xiang Gao, Mitchell Pound, and Casen Thompson, "Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory".- Eckhard Meinrenken, "Introduction to Moduli Spaces and Dirac Geometry".- Part title Applications to Field Theories.- Alberto Ibort, Arnau Mas, and Luca Schiavone, "Fields" in classical and quantum field theories".- Aldo Riello and Michele Schiavina, "Phase spaces in field theory: reduction vs resolution".