GENTLE+DÉCOLLAGE

Category: talks

  • A symmetric cousin of Poisson geometry

    —

    in ,

    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.

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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

    —

    in ,

    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…