Rizal Afgani's seminar at SISSA

[Emanuele Tuillier Illingworth]

Algebraic Geometry Seminar

SISSA, Friday, September 25th 2015, Room 136, at 15:30.

Speaker: Rizal Afgani

Title: Resolution of singularities of toric surfaces

Abstract. The study of embeddings of algebraic tori into irreducible 
varieties has strong relation to the study of the geometry of convex 
bodies. We will consider varieties that are constructed from strongly 
convex cones and fans. In this seminar I will describe types of 
singularities of toric varieties and the resolutions of the 
singularities of toric surfaces. We will see Hirzebruch-Jung continued 
fractions playing to give the resolution of toric surfaces.  I will also 
try to give the idea how to generalize it in higher dimension.