Category: 2023/2024
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TBA (about L_infinity algebras), by K. Singh
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in 2023/202418 Jul 2024, 11:00 CET. Talk by Karandeep Singh. Abstract: TBA.
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Geodesic invariance and the symmetric product: mechanics, control theory, and geometry, by A. Lewis
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in 2023/202418 Jun 2024 (Tuesday). 14:00 CET. Talk by A. Lewis. Note the unusual day and time. Abstract: The property of geodesic invariance of a distribution on a manifold with an affine connection is that for which geodesics with initial tangent vectors in the distribution are such that all subsequent tangent vectors are in the distribution.…
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Generalized connections, spinors, and integrability of generalized structures on Courant algebroids, by V. Cortés
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in 2023/20248 May 2024 (Wednesday), 12:30 CET. Talk by V. Cortés. Note the unusual day and time. Abstract: I will discuss various geometric structures on Courant algebroids in terms of generalized connections, spinors and Dirac generating operators. The talk is based on joint work with Liana David.
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What is… the torsion of a connection? And why we should care, by I. Agricola
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in 2023/202411 Apr 2024, 11h CET. Talk by I. Agricola. Abstract: Following the seminal work of Elie Cartan, I will summarise the concept of torsion of a metric connection and the most important properties; in particular, we will meet the three basic types of metric connections with torsion and what singles out the skew symmetric case.…
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Holomorphic divergences, by M. García-Fernández
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in 2023/202421 Mar 2024, 11h CET. Talk by M. García-Fernández. Abstract: A smooth divergence on a Courant algebroid E is a differential operator from sections of E to functions on the base manifold, satisfying a natural Leibniz rule with respect to the anchor map. Divergence operators keep track of the ‘conformal geometry’ of the Courant algebroid…
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Courant cohomology, Cartan calculus, connections, curvature, characteristic classes, by M. Cueca
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in 2023/20247 Mar 2024, 11h CET. Talk by M. Cueca. Abstract: It is known that Courant algebroids are in correspondence with degree 2 symplectic dg-manifolds. The standard cochain complex of a Courant algebroid is, by definition, the complex consisting of functions on the corresponding dg-manifold. This definition has been difficult to work with directly, due to…
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Riemannian geometry on Courant algebroids, by F. Moučka
29 Feb 2024, 11h CET. Talk by Filip Moučka. Abstract: We introduce analogues of well known concepts from Riemannian geometry, such as metric, connection, torsion, Levi-Civita connection and curvature in the framework of a general Courant algebroid. We illustrate the usefulness of this theory in theoretical physics by introducing an analogue of the Palatini action…
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An introduction to generalized geometry, by R. Rubio
1 Feb 2024, 11h CET. Talk by Roberto Rubio. Abstract: We give an introduction to generalized geometry having in mind the several objectives of GENTLE.