GETOGA

Chaire d'Excellence de l'ANR

Yann Rollin

Trimester on Contact and Symplectic Topology

A special trimester on Contact and Symplectic Topology will be held at Nantes University during the summer 2011. See the web page for more informations.

Conference on Extremal Metrics : Evolution and Stability

A conference on this topic will be organised at the CIRM in Luminy, from the 7th to 12th of February 2011.

Invited Professors at Laboratoire Jean Leray

• Claire Voisin (IHES CNRS, 27/11/09)
  • Geometry seminar: Algèbres de cohomologie des variétés kählériennes
• Julien Keller (Université de Provence, 10/11/09-11/12/09)
  • Three Lectures: Autour du théorème de Calabi-Yau - Cours 1 - Cours 2
• Misha Verbitsky (02/11/09-13/11/09)
  • Three lectures: on Sasakian manifolds and locally conformally Kaehler geometry
    1. Sasakian and CR-geometry
    2. Structure theorem Vaisman manifolds
    3. Embedding theorem for Sasakian manifolds
    Abstract: Sasakian manifolds are Riemannian manifolds equipped with an $\R$-equivariant Kaehler structure on their Riemannian cone. This allows one to characterize the Sasakian manifolds in terms of Kaehler structure on the corresponding cones. Three lectures are planned: 1. A characterization of Sasakian manifolds in terms of CR-geometry. 2. Locally conformally Kaehler geometry, Vaisman manifolds and the structure theorem, providing an equivalence of Vaisman geometry and Sasakian geometry. 3. A version of Kodaira theorem for Sasakian and Vaisman manifolds, giving a complex embedding of a Vaisman manifold into a Hopf manifold and a CR-embedding of a Sasakian manifold into a sphere. These results are obtained jointly with Liviu Ornea.
• Stefan Bauer (Bielefeld University, 05/09/09-09/09/09)
  • Topology seminar: Proper maps between Frechet spaces
    Abstract: The space of smooth sections of a bundle over a compact manifold is the paradigm of a nuclear Fréchet space, graded by Sobolev norms . Nuclear Fréchet spaces, as is well known, are similar to finite dimensional vector spaces. For example, compact subsets are characterised by the Heine-Borel property: A subset of a nuclear Fréchet space is compact iff it is closed and bounded. Homotopy classes of proper maps between finite dimensional vector spaces are closely related to homotopy groups of spheres via one-point compactifications. The concept of one-point compactifications does not extend neatly to the infinite dimensional setting. Homotopy classes of proper maps, however, remain closely related to homotopy groups of spheres, as will be put in concrete terms.
  • Geometry Seminar : Refined Seiberg-Witten invariants
    Abstract:This talk is a survey of applications of the stable homotopy approach to Seiberg-Witten theory.

Special Trimester on Kaehler and related geometries

A special trimester on Kähler and related geometries will be held at Nantes University from september to december 2009. The topics of interest are

Calabi programme, Extremal, Kähler-Einstein metrics Relation with stability Special Holonomy Sasakian geometry etc..

Postdoctoral fellowships

Two fellowships in mathematics have been created thanks to the Chaire d'Excellence GETOGA (2 years teaching free positions). Congratulations to

• Andrew Clarke (arriving in sept 2009), and
• Sheila Sandon (arriving in jan 2010)

who are joining Jean Leray Laboratoire. Another one year postdoctoral position is awarded by the CNRS together with the Chaire d'Excellence. Congratulation to

• Ethan Cotterill

who is joining the Laboratoire Jean Leray from oct 2009.