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Seminario di Fisica Matematica: Noncommutative integrability and dual pairs in symplectic and contact geometry

Mercoledì 15 Maggio 2013, ore 14:30 - Aula 1BC45 - Cornelia Vizman

ARGOMENTI: Seminari

SEMINARIO DI FISICA MATEMATICA
Mercoledì 15 Maggio 2013, ore 14:30
Aula 1BC45
Cornelia Vizman (West University of Timisoara, Romania)
“Noncommutative integrability and dual pairs in symplectic and contact geometry”

Abstract
The setting for noncommutative integrability for symplectic manifolds leads naturally to a fibration by isotropic tori and to its symplectic orthogonal distribution, which is integrable. Together they build a dual pair of Poisson maps on the symplectic manifold, as explained in [1]. We introduce the notion of dual pair of Jacobi maps on a contact manifold. This helps us to treat similarly the contact noncommutative integrability presented in [2].

[1] F. Fasso', Superintegrable Hamiltonian systems: geometry and perturbations, Acta Appl. Math. 87 (2005), 93-121.
[2] B. Jovanovic, Noncommutative integrability and action-angle variables in contact geometry, J. Sympl. Geom. 10 (2012), 536-561.

Rif. Int. F. Fasso'