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14–19 Jul 2024
Hotel Les Sources
Europe/Zurich timezone

Symplectic Geometry

15 Jul 2024, 10:00
45m
Hotel Les Sources

Hotel Les Sources

Chem. du Vernex 9, 1865 Ormont-Dessus Les Diablerets Switzerland

Speaker

Donald Huber-Youmans (Heidelberg University)

Description

This course is an introduction to the foundations of symplectic geometry. We will discuss a motivating example—Hamiltonian mechanics—before defining what it means to be symplectic. Afterwards we will study some consequences of the general definitions. Importantly, we will show that locally, all symplectic spaces look the same: there are no local symplectic invariants! This is a consequence of Darboux’s theorem.
Key words: Hamiltonian mechanics, symplectic manifolds, Darboux theorem

Presentation materials

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