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Seminar

GTC Visions Seminar: Vector-sum theorems, their relatives and applications September 20, 2017 (03:30 PM PDT - 05:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Imre Barany (Alfréd Rényi Institute of Mathematics)
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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 is a finite subset of B and the sum of the elements in V is zero. Then there is an ordering v_1,...,v_n of the elements 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, and some open problems around it.

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