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In 1979 Vaaler proved that every d-dimensional central section of the cube [−1, 1] n has volume at least 2 d. We prove the following sharp combinatorial analogue. Let K be a d-dimensional subspace of R n. Then, there is a probability measure P on the section [−1, 1] n ∩ K, so that the quadratic form [−1,1] n ∩K v ⊗ v dP (v) dominates the identity on K (in(More)
The workshop on Discrete Geometry was attended by 53 participants , many of them young researchers. In 13 survey talks an overview of recent developments in Discrete Geometry was given. These talks were supplemented by 16 shorter talks in the afternoon, an open problem session and two special sessions.
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