GENTLE+DÉCOLLAGE

Category: talks

  • Higher General Linear Groupoids and Higher Holonomy

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    20 May 2026. Talk by Jaime Pedregal at the KU Leuven Poisson seminar. Abstract: A connection on a vector bundle is equivalently given by its parallel transport functor from the thin fundamental groupoid of the base to the general linear groupoid of the bundle. The isotropy of the image of such functor is the holonomy…

  • 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…