Display Abstract

Title Multisymplectic geometry and Lie groupoids

Name David Iglesias Ponte
Country Spain
Email diglesia@ull.edu.es
Co-Author(s)
Submit Time 2014-03-17 09:13:56
Session
Special Session 105: Geometric mechanics
Contents
Multisymplectic groupoids, a higher-degree generalization of symplectic groupoids, are presented. Recalling that Poisson structures may be viewed as infinitesimal counterparts of symplectic groupoids, we describe ``higher'' versions of Poisson structures by identifying the infinitesimal counterparts of multisymplectic groupoids. Some basic examples and features are discussed, in particular, how they appear in the description Lie-Poisson reduction in field theories.