School of Mathematics Seminars and Lectures
`Langrangian webs in kaehlerian manifolds and the (ex) Fundamental conjecture of Gindikin-Piteccii Shapiro-Vinberg.'
by Prof. Michel Nguiffo Boyom (Universit\'e Montpellier2, France)
Tuesday, April 15, 2014
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
By 1968 Gindikin, P. Shapiro and E.B. Vinberg stated the conjecture that a homogeneous Kaehlerian manifold is the total space of an analytical fibration over a bounded domain whose fibers are products of simply connected homogeneous Kaehlerian manifolds and compact homogenous Kaehlerian manifolds.\\ This conjecture has become a Theorem proved by J. Dorfmeister. The proof is base on the notion of j-algebra which had been initiated by Jean-Louis Koszul. The aim of my talk is to use the linearization of some lagrangian webs in order to reduce to conjecture in Riemann surfaces and then to proceed by induction. |