Mathematics Colloquia and Seminars
Vector-sum theorems, their relatives and applicationsColloquium
|Speaker:||Prof. Imre Barany, Hungarian Academy of Science & Univ. College London|
|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