# Mathematics Colloquium

#### Some Aspects of Realization Spaces of Polytopes

**Speaker:**
Karim Adiprasito, IHES and Hebrew U. of Jerusalem

**Location:**
Warren Weaver Hall 1302

**Date:**
Monday, January 26, 2015, 3:45 p.m.

**Synopsis:**

I will discuss some interesting aspects of realization spaces of polytopes, in particular: -- polytopes of small realization space, and the solution of classical problems of Legendre & Steinitz using methods using discrete partial differential relations, (joint with Günter Ziegler), -- dynamical aspects, and the proof of stability of the Rivara bisection refinement algorithm (joint with Igor Pak), and -- relations to toric varieties, and in particular the "proper" statement of some classical approximation theorems from convex analysis within toric algebraic geometry.