题目：On the geometry of moduli spaces of polarized manifolds and Mori char. p theory I&II
时间：10月24日 周一10：00-11:00（Part I）
10月28日 周五10:00-11:00（Part II）
Generalizing a classical conjecture of Shafarevich, Viehweg conjectured that if a manifold U is a base of a family of projective manifolds with semi-ample canonical sheaves and maximal variation then U is of log-general type. In this talk, I will explain how to use Viehweg-Zuo sheaf and Mori-Miyaoka theory to show the canonical line bundle of the base of the family is big, if the base space is compact. I will also explain the main difficulty of this method to prove Viehweg's conjecture for the case that the base is noncompact. Actually Mori's technique is unvalid in this case.