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



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



            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 £ image004 . This is a generalization of a result by Debarre.


All are welcome