Invitations for
extended periods at Laboratoire Jean Leray throughout the trimester. Researchers are welcome to
interact and to give mini lectures on their favorite topics.
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.
Special Trimester - Seminar on G2 holonomy - Fall 2009
The seminar takes place every wednesday at 5pm at the Laboratoire Jean Leray.