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.

### Time & Location

Oct 28, 2014 | 02:15 PM

TU Berlin, MA 874