Category: 2023/2024

18 Jul 2024, 11:00 CET. Talk by Karandeep Singh. Abstract: L-infinity algebras were introduced by Lada and Stasheff in the 90s as strongly homotopy Lie algebras, and are a generalization of Lie algebras, where the structure equations are only required to hold up to coherent homotopy. After giving the relevant definitions, I will give some…

18 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.…

8 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.

11 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.…

21 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…

7 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…