SMS scnews item created by Bill Unger at Tue 11 May 2010 1200
Type: Seminar
Distribution: World
Expiry: 13 May 2010
Calendar1: 13 May 2010 1500-1600
CalLoc1: Carslaw 535A
Auth: billu@daumier.maths.usyd.edu.au

Computational Algebra Seminar: Kasprzyk -- Frolicking with convex bodies

Speaker: Alexander M Kasprzyk
Title: Frolicking with convex bodies
Time & Place: 3-4pm, Thursday 13 May, Carslaw 535

Abstract:
The aim of this talk is to give a brief introduction to convex bodies:
polytopes, polyhedra, and cones. Starting with the most elementary
definitions, and motivated in part by constructions from toric geometry,
I hope to address:
   * The dual definitions of a polytope, and how this naturally gives rise
     to polyhedra;
   * The concept of finite part and tail cone;
   * The basic combinatorial properties of polytopes;
   * Computing the basis of a cone;
   * Lattice point counting.