Symplectic groupoids for Poisson integrators

Oscar Cosserat (U of La Rochelle)

Aug 23. 2022, 15:30 — 16:30

We use local symplectic Lie groupoids to construct Poisson
integrators for generic Poisson structures. More precisely, recursively ob-
tained solutions of a Hamilton-Jacobi-like equation are interpreted as La-
grangian bisections in a neighborhood of the unit manifold, that, in turn,
give Poisson integrators. We also insist on the role of the Magnus for-
mula, in the context of Poisson geometry, for the backward analysis of
such integrators.

The talk is based on the preprint

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)