# Mathematics Colloquia and Seminars

### Vector-sum theorems, their relatives and applications

Colloquium

 Speaker: Prof. Imre Barany, Hungarian Academy of Science & Univ. College London Location: 1147 Start time: Mon, Feb 24 2020, 4:10PM

About hundred years ago, while 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 $V \subset B$ is finite and the sum of the elements in $V$ is zero. Then there is an ordering $v_1,\ldots,v_n$ of $V$ 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.

There will be refreshments before the talk