**Imre Bárány**

#### Thursday, May 17 at 9:00 AM

**Abstract**

About hundred years ago, answering a question of Riemann, Steinitz proved the following result. Let B be the unit ball of the Euclidean norm in R d and assume that V⊂B is finite and the sum of the elements in V is zero. Then there is an ordering v1,…,vn of the vectors in V such that all partial sums along this ordering have norm smaller than 2d. I am going to talk about extensions, generalizations, and applications of this remarkable theorem.