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

Abstract:

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

transformations.

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