Seminario

Seminario Geometría, Mecánica y Control

Symplectic Groupoids for Poisson Integrators

Ponente:  Oscar Cosserat (LaSIE – CNRS & University of La Rochelle, France)
Fecha:  viernes 10 de marzo de 2023 - 15:30
Online:  https://us06web.zoom.us/j/83198736295?pwd=ZEdmME10bTJJeVhBMmlYV216SWZwdz09

Resumen:

We use local symplectic Lie groupoids to construct Poisson integrators for generic Poisson structures. More precisely, recursively obtained solutions of a Hamilton-Jacobi-like equation are interpreted as Lagrangian bisections in a neighborhood of the unit manifold, that, in turn, give Poisson integrators. We also insist on the role of the Magnus formula, in the context of Poisson geometry, for the backward analysis of such integrators. The talk is based on the preprint arXiv 2205.04838.