#SymplecticGeometry
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elisamarrobles.bsky.social
🔝SymplecticGeometry has its roots in physics. To take a simple example, imagine a pendulum. Don't miss the video of #HolgerDullin and #FranciscoCrespo
and how the role of symmetry can change everything! @sydmathinst.bsky.social
@sydneymathsstats.bsky.social
youtu.be/fdeh3lljA_Q?...
Francisco Crespo: Celestial mechanics and the full n-body problem
YouTube video by Sydney Mathematical Research Institute - SMRI
youtu.be
March 2, 2026 at 12:08 PM
imathtutor.bsky.social
A nearly 20 year-old conjecture ins symplectic geometry by Penn State math professor Augustin Banyaga has been proven.
#mathematics #math #SymplecticGeometry #conjecture
Source:https://buff.ly/wNW9qAo
September 19, 2025 at 1:04 PM
identityelement.bsky.social
Beyond metric preservation: build symplectic structural invariance into representation.

arxiv.org/abs/2512.19409

#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML
Symplectic Reservoir Representation of Legendre Dynamics
Modern learning systems act on internal representations of data, yet how these representations encode underlying physical or statistical structure is often left implicit. In physics, conservation laws...
arxiv.org
December 23, 2025 at 8:54 AM
informaq.bsky.social
Rigorous mathematical framework deriving the Dirac equation through geometric quantization using symplectic manifolds and quaternionic spinor theory, with systematic construction of C, P, T symmetries.

#GeometricQuantization #SymplecticGeometry #Research
Geometric Quantization of the Relativistic Electron via Souriau's Symplectic Methods
arxiv.org
June 2, 2026 at 6:17 AM