Geometry, Structure and Randomness in Combinatorics

Tensors, colours, and octahedra

speaker: Imre Barany (University College London )

abstract: Several classical results in convexity, like the theorems of Caratheodory, Helly, and Tverberg, have colourful versions. In this talk I plan to explain how two methods, the octahedral construction and Sarkaria's tensor trick, can be used to prove further extensions and generalizations of such colourful theorems.

timetable:
Thu 6 Sep, 9:00 - 10:00, Aula Dini
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