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Title:
Zeitlin’s model: old and new
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Abstract:
In 1991 Vladimir Zeitlin used quantization theory to discretize two-dimensional ideal hydrodynamics. Contrary to other discretizations, Zeitlin's model preserves the underlying Lie-Poisson geometry. It also brings forth a dictionary between hydrodynamical notions and concepts in linear algebra and Lie theory. With an emphasis on these connections, I shall present Zeitlin's model and discuss its long-time qualitative behavior.
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