Symplectic Carleman approximation on co-adjoint orbits | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Symplectic Carleman approximation on co-adjoint orbits

By Erlend Fornæss Wold

Appears in collection : Complex Dynamics / Dynamique complexe

For a complex Lie group $G$ with a real form $G_{0}\subset G$, we prove that any Hamiltionian automorphism $\phi$ of a coadjoint orbit $\mathcal{O}_{0}$ of $G_{0}$ whose connected components are simply connected, may be approximated by holomorphic $O_{0}$-invariant symplectic automorphism of the corresponding coadjoint orbit of $G$ in the sense of Carleman, provided that $\mathcal{O}$ is closed. In the course of the proof, we establish the Hamiltonian density property for closed coadjoint orbits of all complex Lie groups.

Information about the video

Date of recording 28/01/2020
Date of publication 18/02/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19602103
Cite this video Wold, Erlend Fornæss (28/01/2020). Symplectic Carleman approximation on co-adjoint orbits. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19602103
URL https://dx.doi.org/10.24350/CIRM.V.19602103

Domain(s)

Bibliography

DENG, Fusheng et WOLD, Erlend Fornæss. Hamiltonian Carleman approximation and the density property for coadjoint orbits. arXiv preprint arXiv:1911.09505, 2019. - https://arxiv.org/abs/1911.09505

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2024

Give feedback