8-12 September. Talk by Filip Moučka at Differential Geometry and its Applications, Brno (Czech Republic).
Abstract: Poisson geometry is a well-established field of mathematics concerned with skew-symmetric bivector fields obeying a specific integrability condition, however, much less is known about their symmetric counterparts. In this talk, I will introduce symmetric Poisson structures: symmetric bivector fields satisfying a new integrability condition inspired by the Poisson framework. I will demonstrate their close relation to totally geodesic foliations and Jacobi-Jordan algebras and provide several illustrative examples.