GENTLE+DÉCOLLAGE

Category: talks

  • From the Patterson-Walker metric to symmetric Poisson geometry

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    20 May 2026. Talk by Filip Moučka at the West University of Timișoara. Abstract: The Patterson-Walker metric, introduced in 1952, is a split-signature metric on the total space of the cotangent bundle, and it can be viewed as a symmetric counterpart of the canonical symplectic form. In this talk, I will show that studying its gradient…

  • Above and beyond generalized complex geometry

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    6 May 2026. Talk by Roberto Rubio at the online conference Geometry and TACoS on generalized complex geometry. Abstract: I will discuss the geometric structures arising from two very natural variations of the setup of generalized complex geometry. On the one hand, I will review Bn-generalized complex geometry, where cosymplectic and normal almost contact structures join…

  • A symmetric cousin of Poisson geometry

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    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…

  • Higher Holonomy

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    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…

  • A symmetric cousin of Poisson geometry

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    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…

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

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    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…

  • The Patterson-Walker metric

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    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…

  • Courant algebroid lifts and curved Courant algebroids

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    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,…

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

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    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…

  • 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…