Category: talks
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A symmetric cousin of Poisson geometry
16 Apr 2026. Talk by Filip Moučka at the Prague Mathematical Physics Seminar, Charles University, Prague. Abstract: Poisson geometry is a natural extension of symplectic geometry that encodes Hamiltonian dynamics, Lie algebras, and singular foliations via skew-symmetric bivector fields. In this talk, I will explore a symmetric counterpart of this framework by introducing symmetric Poisson…
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Higher Holonomy
13 Apr 2026. Talk by Jaime Pedregal at the meeting Young Researchers in Generalized Geometry, Hamburg University. Abstract: In this brief introduction to higher holonomy, I will sketch how the classical holonomy group is hiddenly a 2-group, and how this perspective makes sense of the isotropy terms appearing in Fernandes’s version of the Ambrose–Singer theorem for…
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A symmetric cousin of Poisson geometry
23 Mar 2026. Talk by Filip Moučka at Poisson Geometry and its relatives: a thematic day at CRM, Barcelona. Abstract: Poisson geometry is a natural extension of symplectic geometry that encodes Hamiltonian dynamics, Lie algebras, and singular foliations via skew-symmetric bivector fields. In this talk, I will explore a symmetric counterpart of this framework by…
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Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras.
12 Mar 2026. Talk by Roberto Rubio at the JLU Colloquium, Sino-Russian Mathematics Centre, Jilin University, China. Abstract: I will introduce symmetric Poisson geometry, the study of symmetric bivector fields on a manifold. I will first discuss their integrability condition, then move to their geometric interpretation, which features totally geodesic foliations, and finally discuss some…
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The Patterson-Walker metric
26 Jan 2026. Talk by Filip Moučka at the 34th Student conference: Winter School on Mathematical Physics in Jánské Lázně, Czech Republic. Abstract: Replacing the minus sign in the canonical Poisson bracket by the plus sign yields a commutative bracket that nevertheless allows one to formulate Newton’s equations for conservative systems in close analogy with…
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Courant algebroid lifts and curved Courant algebroids
19 Jan 2026. Talk by Filip Moučka at the 46th Winter school on geometry and physics, Srní, Czech Republic. Abstract: Given a Courant algebroid on a bundle of the form TM+E, we describe a natural construction of a pairing, an anchor, and a bracket on TE using a vector bundle connection on E. In general,…
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Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras
25 Nov 2025. Talk by Filip Moučka at the Quantum Universe Attract.Workshop, Hamburg. 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 analogues in symmetric Poisson geometry and…
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Flat Generalized Connections
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…
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A gentle introduction to generalized geometry
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.
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Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras
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…