seminar of Prof. A.Todorov

[Boris Dubrovin]

			Prof. A. TODOROV

		    (Univ. of California at Santa Cruz)

				will deliver a talk on

Canonical Kahler Metrics, Semi-Positive Realization of the cohomology
classes of the Boundary of the Kahler cone and SYZ conjecture for Hyper-
Kahler Manifolds

on Thursday, September 27, 2007, at 16:30, Room C of SISSA Main Building

Abstract

In this talk we will  prove that the harmonic representatives of the  
classes
of cohomologies in the Kahler cone with respect to CY or Kahler-Einstein
metrics are imaginary parts of some Kahler metrics. This implies that  
the
harmonic representatives of the boundary classes of the Kahler cone are
semi-positive. When some power less or equal to the dimension of the
manifold of the boundary class  is zero then it  harmonic  
representative with
respect to CY metric defines a holomorphic foliation. When the boundary
classes is the Chern class of a line bundle this holomorphic  
foliation has
compact leaves and defines  a fibration