GENTLE+DÉCOLLAGE

Category: talks

  • Flat Generalized Connections

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    16 Sep 2025. Talk by Jaime Pedregal at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: In differential geometry, flat spaces can be seen as the “simplest” objects. For instance, a flat Riemannian manifold is locally Euclidean not only smoothly, but geometrically. In the presence of skew-symmetric torsion, the situation seems a…

  • A gentle introduction to generalized geometry

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    15 Sep 2025. Talk by Roberto Rubio at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: We will motivate the introduction of generalized geometry and discuss the most basic definitions.

  • Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras

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    16 Sep 2024. Poster by Filip Moučka at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: We introduce symmetric Poisson structures as pairs consisting of a symmetric bivector field and a torsion-free connection satisfying an integrability condition analogous to that in usual Poisson geometry. Equivalent conditions in Poisson geometry have inequivalent…

  • Obstructions to the existence of a Dirac complement

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    16 Sep 2025. Poster by Tom Ariel at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: Dirac structures are a geometric object generalizing symplectic and Poisson structures. From a physics viewpoint, they describe mechanical systems with both symmetries and constraints. Geometrically, they are given by subbundles of a vector bundle with…

  • A Gentle Introduction to Generalized Riemannian Geometry

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    26 Aug 2025. Talk by Jaime Pedregal at the GQT Graduate School, Conferentieoord de Poort, Groesbeek Abstract: Generalized geometry has proven to be a powerful unifying framework for different geometries such as complex, symplectic, Poisson and the like. The theory of generalized metrics has led to further links to other geometries, e.g. bihermitian geometry, which…

  • Beyond Poisson geometry: when a bivector field is symmetric

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    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…

  • 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…

  • Symmetric Poisson geometry

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    11 Aug 2025. Talk by Roberto Rubio at the Workshop on Poisson Geometry and Related Topics, Beijing, China. Abstract: I will introduce symmetric Poisson geometry, the study of symmetric bivector fields on a manifold. I will first discuss the integrability condition, then move to their geometric and dynamical interpretation, and finally discuss some interesting examples. This…

  • Obstructions to the existence of a Dirac complement, poster

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    3 Jul 2025. Poster by Tom Ariel at the conference Interactions of Poisson Geometry, Lie Theory and Symmetry.

  • Symmetric Poisson geometry, poster

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    30 Jun 2025. Poster by Filip Moučka at the conference Interactions of Poisson Geometry, Lie Theory and Symmetry.