Seminar| Institute of Mathematical Sciences
Time：14:00-15:00, Oct 29, Thuesday
Location：Room S408, IMS
Speaker: Rong Du, Department of Mathematics, East-China Normal University
Abstract: Let X be a nonsingular projective n-fold (n>1) of general type with ample canonical
bundle or Fano projective manifold over an algebraic closed field of any characteristic. We
will introduce a new method to get a bunch of inequalities in terms of Chern classes by
Schubert calculus in the Chow group of Grassmannian under Gauss map. As an application, we
give an affirmative answer to a generalized open question posted by Hunt on geography
problem on nonsingular projective manifolds to all dimensions. This is a joint work with
Hao Sun.