19–22 nov. 2024
Institut de Mathématiques de Bourgogne (IMB)
Fuseau horaire Europe/Paris

Lie-Poisson Equations: from Quantum Liquids to Gravity

22 nov. 2024, 09:30
1h
Institut de Mathématiques de Bourgogne (IMB)

Institut de Mathématiques de Bourgogne (IMB)

Université de Bourgogne Dijon, France

Orateur

Blagoje Oblak (CNRS, Université Claude Bernard Lyon 1)

Description

I argue that translation-invariant dynamical systems on Lie groups are ubiquitous in Nature. Numerous examples are provided, ranging from basic mechanics and hydrodynamics to the edge modes of topological insulators and quantum gravity. The geometric approach to such setups yields observables that are natural but surprisingly overlooked in the literature, notably including Berry phases that probe the symplectic geometry of coadjoint orbits. [Based on arXiv:2408.03991]

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