Symmetric Poisson structures and where to find them

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25 Aug 2025. Talk by Filip Moučka at the Student Colloquium and School on Mathematical Physics, Stará Lesná (Slovakia).

Abstract: I will introduce symmetric Poisson structures: symmetric bivector fields satisfying a specific integrability condition. I will explain how this new framework extends (pseudo-)Riemannian geometry and show the geometric interpretation of symmetric Poisson structures. I will illustrate the theory on several interesting examples.