GENTLE

Category: pedregal

  • Curvature and Holonomy in Generalized Geometry

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    26 Feb 2025. Talk by Jaime Pedregal at the ICMAT Geometry seminar. Abstract: Curvature in generalized geometry has proven to be an elusive concept admitting several different approaches, each one with its own advantages and disadvantages. Furthermore, the concept of holonomy for generalized connections is, so far, missing from the theory, partly because any sensible…

  • A Gentle Introduction to Generalized Riemannian Geometry

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    14 Jan 2025. Talk by Jaime Pedregal at the RSME’s 7th Congress of Young Researchers, Bilbao. 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…

  • On the Equivalence of Generalized Ricci Curvatures

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    Paper by G. Cavalcanti, J. Pedregal and R. Rubio. Abstract: We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric. Find it on the arXiv (2406.06695). To appear in Proc. Amer. Math. Soc.

  • Lie algebroid holonomy

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    5 Feb 2024. Talk by Jaime Pedregal at the LIGAT Geometry Seminar, UAB. Abstract: Lie algebroids can be considered as “adapted tangent bundles” for specific geometric situations. As such, it makes sense to consider Lie algebroid connections and Lie algebroid holonomy. In this talk, after a very brief recap of classical holonomy, we will introduce…

  • Connections and holonomy II, by J. Pedregal

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  • Connections and holonomy, by J. Pedregal

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    Introduction to connections, Ambrose-Singer theorem, Riemannian holonomy and Simon’s holonomy theorem.