The next talk in the DGD seminar at TU Berlin is on
Tuesday, 28.10.2014 at 14:15 in MA 874
on "Matching centroids by a projective transformation"
Speaker: Ivan Izmestiev
Let K and L be two subsets of R^d. Does there exist a projective
transformation f such that the centroids of f(K) and f(L) coincide?
We allow each of K and L to be a point, a finite set of points, or a
d-dimensional body, and find in each case a functional whose critical
points correspond to solutions. Under certain assumptions the
transformation f is unique modulo post-composition with affine
Connections arise with the algebraic polarity, Moebius centering of
polytopes, Santalo points, and Hilbert geometry.
The talk is based on the arxiv preprint 1409.6176.
Oct 28, 2014 | 02:15 PM
TU Berlin, MA 874