國家理論科學研究中心學術演講
NCTS Seminar in Algebraic Geometry

  Speaker  :     Prof. Jiun-Cheng Chen (Northwestern U.)
         

  Time      :        March 23 (Wednesday), 2005   PM 1:30 

  Topic     :        Bounding Canonical Degree in Characterstic >= 0

  Abstract :

I will report on recent work on cone theorem (joint with H.H. Tseng): We prove the cone theorem for varieties with isolated LCIQ singularities using deformation theory of stable maps into Deligne-Mumford stacks. In characteristic p, we obtain a even stronger result, which we believe is still true in characteristic 0. We also obtain a sharper bound on -(K_X + D)-degree of (K_X + D)-negative extremal rays for projective Q-factorial log terminal threefold pair (X, D).

Lecture Room B,

National Center for Theoretical Sciences

4th Floor, The 3rd General Building,

National TsingHua University