- Title : On curvature and the structure of projective Kaehler manifolds  

- Speaker : Gordon Heier(University of Houston)

- Date & Time :  3  May, 2013 (Fri) 14:00~15:00

- Place : Math Science Building room 404

- Abstract

: We will discuss the structure of projective Kaehler manifolds based on various curvature assumptions. If the holomorphic sectional curvature is negative, we will present positivity theorems for the canonical line bundle.

In the positive curvature case, positive total scalar curvature will be identified as a sufficient condition for uniruledness, and positive holomorphic sectional curvature will be shown to imply rational connectedness. (This is joint work with Lu-Wong and Wong, respectively.)