Jian Xiao : Correspondences between convex geometry and complex geometry

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Oct. 26, 2016, 4 p.m.

In

SEO 427

Abstract

We present several (new) correspondences between convex bodies and the theory of holomorphic line bundles on smooth projective varieties or Kähler manifolds, thus extending the dictionary between convex geometry and complex geometry. An important ingredient is a refined structure of the movable cone of curves. This is joint work with Brian Lehmann.