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MTA Rényi Intézet, nagyterem
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Description

A question of Erdős asks to give as many points in $\mathbb{R}^d$ as possible in a way that all angles formed by the points are acute. For decades the best known lower and upper bounds had been a long way apart before a number of unexpected twists took place in the past year. We tell the story outlining the various proofs and constructions.