GENTLE

Category: seminar

  • Dirac products and concurring Dirac structures, by D. Martínez Torres

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    20 May 2025, 14:00 CET. Talk by David Martínez Torres. Abstract: We discuss two dual canonical operations on Dirac structures L and R, the tangent and the cotangent product. The tangent product, also known as tensor product, if smooth is always Dirac, and we will describe how its characteristic foliation relates to those of L…

  • The Fukaya category of a log symplectic surface, by C. Kirchhoff-Lukat

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    25 Mar 2025, 14:00 CET. Talk by Charlotte Kirchhoff-Lukat. Abstract: Floer theory and Fukaya categories constitute powerful invariants of symplectic manifolds. As a first step in the effort to extend these techniques to Poisson structures with degeneracies, I will present the construction of the Fukaya category for log symplectic Poisson structures on oriented surfaces, with…

  • Projective to Einstein Correspondence, by M. Dunajski

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    11 Mar 2025, 15:00 CET (note the unusual time). Talk by Maciej Dunajski. Abstract: I shall review various ways in which an affine connection on a manifold M can be lifted to a conformal structure on TM. I shall focus on the construction in which there is a preferred metric in this conformal structure which…

  • What is the h-principle and how may it be relevant to generalized geometry?, by Á. del Pino

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    17 Dec 2024. 14:00 CET. Talk by Álvaro del Pino. Abstract: The h-principle is the subfield of Differential Topology dedicated to the classification problem for geometric structures on manifolds, up to homotopy. Statements in h-principle are often of the form: “The space of structures of type X is weakly homotopy equivalent to some other space…

  • Graded geometry and generalized geometry, by R. Mehta

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    19 Nov 2024, 14:30 CET (note the time change). Talk by Rajan Mehta. Abstract: I’ll give an overview of graded geometry and explain how various structures that fall under the umbrella of “generalized geometry” (such as Lie algebroids, Poisson manifolds, Jacobi manifolds, Courant algebroids, and generalized complex manifolds) can be viewed as graded geometric objects.…

  • 25 years since the letters to Weinstein, by P. Ševera

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    22 Oct 2024, 14:00 CET. Talk by Pavol Ševera. Abstract: I will talk about the original motivations and dreams that lead to these infamous letters (which are known mainly for the introduction and classification of exact Courant algebroids) and about some of the related developments in generalized geometry, higher structures and physics that happened at…

  • Some aspects of L-infinity algebras in geometry, by K. Singh

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    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…

  • Geodesic invariance and the symmetric product: mechanics, control theory, and geometry, by A. Lewis

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    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.…

  • Generalized connections, spinors, and integrability of generalized structures on Courant algebroids, by V. Cortés

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    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.

  • What is… the torsion of a connection? And why we should care, by I. Agricola

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    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.…