Geometry Seminar
January
11, 2008 (Friday)
517 Meng Wah Complex, HKU
Dr. Chi-Hin Lau
Korea Institute for Advanced Study & HKU
Complex manifolds dominated by compact homogeneous Kähler spaces
3:00 – 4:00pm
Abstract
A compact homogeneous Kähler space is a compact Kähler
manifold whose tangent bundle is globally generated. By considering the variety
of minimal rational tangents, Hwang and Mok solved a
problem raised by Lazarsfeld and gave a complete
description of surjective holomorphic
maps from rational homogeneous spaces of Picard number 1 to projective
manifolds. A generalization of this result to compact homogeneous Kähler spaces will be discussed.
4:00 – 4:15 Tea
Break
Dr. Kung-Ho Chan
Korea Institute for Advanced Study & HKU
Seshadri Constants on Jacobians
and the Second Symmetric Products of Curves
4:15 – 5:15pm
Abstract
We investigate the nef cone spanned by the diagonal and the fibre classes of second symmetric product of a curve of
genus g. This
2-dimensional nef cone gives a characterization of
being a double covering of curve of genus £ . This is a generalization of a
result by Debarre.
All
are welcome